177:@0.942817:0.963886:0.974741:0.963886:0.974741:0.945448:0.942817:0.945448:0.000000:0.000000:0.000000
Desplazamiento vertical de la función cuadrática :@0.095800:0.134996:0.556536:0.134996:0.556536:0.115023:0.095800:0.115023:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la forma  ( ) = :@0.095800:0.157209:0.259265:0.157209:0.259265:0.137236:0.095800:0.137236:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.206148:0.157209:0.230714:0.157209:0.230714:0.136990:0.206148:0.136990:0.000000:0.000000:0.000000
ax :@0.259265:0.157209:0.286182:0.157209:0.286182:0.136990:0.259265:0.136990:0.000000:0.000000:0.000000
2 + :@0.286182:0.157209:0.315430:0.157209:0.315430:0.137236:0.286182:0.137236:0.000000:0.000000:0.000000:0.000000
c:@0.315430:0.157209:0.324904:0.157209:0.324904:0.136990:0.315430:0.136990:0.000000
Trazamos y analizamos la gráfica de las siguientes funciones cuadráticas:  :@0.095800:0.180308:0.638771:0.180308:0.638771:0.164639:0.095800:0.164639:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.095800:0.196905:0.112846:0.196905:0.112846:0.180543:0.095800:0.180543:0.000000:0.000000:0.000000
( ) =  2 + 3:@0.100499:0.196905:0.180881:0.196905:0.180881:0.181235:0.100499:0.181235:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.136783:0.196905:0.147563:0.196905:0.147563:0.180543:0.136783:0.180543:0.000000:0.000000
y  g x:@0.180881:0.196905:0.216612:0.196905:0.216612:0.180543:0.180881:0.180543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ) =  2 – 2.:@0.204265:0.196905:0.286084:0.196905:0.286084:0.181235:0.204265:0.181235:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.240549:0.196905:0.251330:0.196905:0.251330:0.180543:0.240549:0.180543:0.000000:0.000000
Desplazamiento horizontal de la función cuadrática :@0.096359:0.470013:0.583817:0.470013:0.583817:0.450040:0.096359:0.450040:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la forma  ( ) = (  + )2:@0.096359:0.492226:0.324788:0.492226:0.324788:0.472252:0.096359:0.472252:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.206707:0.492226:0.231272:0.492226:0.231272:0.472007:0.206707:0.472007:0.000000:0.000000:0.000000
x  h:@0.266379:0.492226:0.310980:0.492226:0.310980:0.472007:0.266379:0.472007:0.000000:0.000000:0.000000:0.000000
Trazamos y analizamos la gráfica de las siguientes funciones cuadráticas:  :@0.096359:0.515325:0.698740:0.515325:0.698740:0.499655:0.096359:0.499655:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.096359:0.531921:0.113405:0.531921:0.113405:0.515560:0.096359:0.515560:0.000000:0.000000:0.000000
( ) = (  + 4)2,  ( ) = ( – 2)2.:@0.101058:0.531921:0.291950:0.533180:0.291950:0.517510:0.101058:0.516252:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.142226:0.531921:0.149689:0.531921:0.149689:0.515560:0.142226:0.515560:0.000000
g x:@0.195131:0.531921:0.216747:0.531921:0.216747:0.515560:0.195131:0.515560:0.000000:0.000000:0.000000
x :@0.245568:0.531921:0.256348:0.531921:0.256348:0.515560:0.245568:0.515560:0.000000:0.000000
Ejemplo :@0.096359:0.716100:0.157271:0.716100:0.157271:0.700987:0.096359:0.700987:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Graficamos la función   =  2 – 2 – 3. Luego determinamos la concavidad, eje de :@0.096359:0.740138:0.698757:0.740138:0.698757:0.724468:0.096359:0.724468:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.261544:0.740138:0.269026:0.740138:0.269026:0.723777:0.261544:0.723777:0.000000
x :@0.289407:0.740138:0.300187:0.740138:0.300187:0.723777:0.289407:0.723777:0.000000:0.000000
x :@0.333578:0.740138:0.344358:0.740138:0.344358:0.723777:0.333578:0.723777:0.000000:0.000000
simetría, vértice, dominio y recorrido de la función.:@0.096359:0.756734:0.466917:0.756734:0.466917:0.741065:0.096359:0.741065:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Graficamos la función  =  2.:@0.361100:0.237376:0.550436:0.237376:0.550436:0.223131:0.361100:0.223131:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y:@0.505791:0.237376:0.515608:0.237376:0.515608:0.222502:0.505791:0.222502:0.000000:0.000000
x :@0.532930:0.237376:0.542730:0.237376:0.542730:0.222502:0.532930:0.222502:0.000000:0.000000
La gráfica de   =  2 + 3 indica que la gráfica inicial   =  2 se desplazó hacia arriba :@0.361100:0.252464:0.899735:0.252464:0.899735:0.238218:0.361100:0.238218:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.449168:0.252464:0.455969:0.252464:0.455969:0.237590:0.449168:0.237590:0.000000
x :@0.473291:0.252464:0.483091:0.252464:0.483091:0.237590:0.473291:0.237590:0.000000:0.000000
y:@0.695644:0.252464:0.702446:0.252464:0.702446:0.237590:0.695644:0.237590:0.000000
x :@0.719768:0.252464:0.729568:0.252464:0.729568:0.237590:0.719768:0.237590:0.000000:0.000000
3 unidades.:@0.361100:0.267551:0.437255:0.267551:0.437255:0.253306:0.361100:0.253306:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El dominio son los   y el recorrido [3, + ∞).:@0.361100:0.282639:0.645504:0.282639:0.645504:0.268394:0.361100:0.268394:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ:@0.486626:0.283167:0.498721:0.283167:0.498721:0.267161:0.486626:0.267161:0.000000
La gráfica de la función   =  2 – 2 indica que la gráfica   =  2 se desplazó hacia :@0.361100:0.297726:0.884223:0.297726:0.884223:0.283481:0.361100:0.283481:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.518791:0.297726:0.525592:0.297726:0.525592:0.282852:0.518791:0.282852:0.000000
x :@0.542914:0.297726:0.552714:0.297726:0.552714:0.282852:0.542914:0.282852:0.000000:0.000000
y:@0.721878:0.297726:0.728680:0.297726:0.728680:0.282852:0.721878:0.282852:0.000000
x :@0.746002:0.297726:0.755802:0.297726:0.755802:0.282852:0.746002:0.282852:0.000000:0.000000
abajo 2 unidades.:@0.361100:0.312814:0.477880:0.312814:0.477880:0.298569:0.361100:0.298569:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El dominio son los   y el recorrido [–2, + ∞).:@0.361100:0.327902:0.653880:0.327902:0.653880:0.313656:0.361100:0.313656:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ:@0.486626:0.328430:0.498721:0.328430:0.498721:0.312424:0.486626:0.312424:0.000000
En forma general, en la función  ( ) = :@0.361100:0.342989:0.609151:0.342989:0.609151:0.328744:0.361100:0.328744:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.571894:0.342989:0.587390:0.342989:0.587390:0.328115:0.571894:0.328115:0.000000:0.000000:0.000000
ax :@0.609151:0.342989:0.627378:0.342989:0.627378:0.328115:0.609151:0.328115:0.000000:0.000000:0.000000
2 +  , con   > 0 se puede decir: si   > 0, :@0.627378:0.342989:0.887389:0.342989:0.887389:0.328744:0.627378:0.328744:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.649491:0.342989:0.656460:0.342989:0.656460:0.328115:0.649491:0.328115:0.000000
a:@0.692076:0.342989:0.700502:0.342989:0.700502:0.328115:0.692076:0.328115:0.000000
c:@0.848339:0.342989:0.855308:0.342989:0.855308:0.328115:0.848339:0.328115:0.000000
la función se desplaza   unidades hacia arriba.:@0.361100:0.358077:0.666394:0.358077:0.666394:0.343832:0.361100:0.343832:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.510683:0.358077:0.517652:0.358077:0.517652:0.343203:0.510683:0.343203:0.000000
Si   < 0, la función se desplaza   unidades hacia abajo. :@0.361100:0.373164:0.722631:0.373164:0.722631:0.358919:0.361100:0.358919:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.376044:0.373164:0.383013:0.373164:0.383013:0.358291:0.376044:0.358291:0.000000
c:@0.564676:0.373164:0.571645:0.373164:0.571645:0.358291:0.564676:0.358291:0.000000
El dominio son todos los reales, los  .:@0.361100:0.388252:0.610758:0.388252:0.610758:0.374007:0.361100:0.374007:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ:@0.595748:0.388780:0.607843:0.388780:0.607843:0.372775:0.595748:0.372775:0.000000
El recorrido: si   > 0, y ≥  , si   < 0, y ≤  .:@0.361100:0.403340:0.624296:0.403340:0.624296:0.389094:0.361100:0.389094:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.457040:0.403340:0.465466:0.403340:0.465466:0.388466:0.457040:0.388466:0.000000
c:@0.522240:0.403340:0.529209:0.403340:0.529209:0.388466:0.522240:0.388466:0.000000
a:@0.549211:0.403340:0.557638:0.403340:0.557638:0.388466:0.549211:0.388466:0.000000
c:@0.614412:0.403340:0.621381:0.403340:0.621381:0.388466:0.614412:0.388466:0.000000
Eje de simetría, eje  . :@0.361100:0.418427:0.501601:0.418427:0.501601:0.404182:0.361100:0.404182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.488216:0.418427:0.495017:0.418427:0.495017:0.403553:0.488216:0.403553:0.000000
Vértice (0,  ).:@0.361100:0.433515:0.444159:0.433515:0.444159:0.419270:0.361100:0.419270:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.429836:0.433515:0.436805:0.433515:0.436805:0.418641:0.429836:0.418641:0.000000
Reconocemos en la función   =  2 – 2  – 3, los coeficientes:   = 1,   = –2 y   = –3. :@0.103426:0.789161:0.634090:0.789161:0.634090:0.774916:0.103426:0.774916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.288557:0.789161:0.295358:0.789161:0.295358:0.774287:0.288557:0.774287:0.000000
x :@0.312177:0.789161:0.321978:0.789161:0.321978:0.774287:0.312177:0.774287:0.000000:0.000000
x:@0.349820:0.789161:0.356605:0.789161:0.356605:0.774287:0.349820:0.774287:0.000000
a:@0.492331:0.789161:0.500757:0.789161:0.500757:0.774287:0.492331:0.774287:0.000000
b:@0.531833:0.789161:0.540260:0.789161:0.540260:0.774287:0.531833:0.774287:0.000000
c:@0.587501:0.789161:0.594470:0.789161:0.594470:0.774287:0.587501:0.774287:0.000000
Determinamos el vértice de la parábola: :@0.103426:0.814006:0.372382:0.814006:0.372382:0.799760:0.103426:0.799760:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=−:@0.388347:0.815299:0.412229:0.815299:0.412229:0.799726:0.388347:0.799726:0.000000:0.000000
==:@0.438657:0.815299:0.476987:0.815299:0.476987:0.799726:0.438657:0.799726:0.000000:0.000000
x:@0.376464:0.814622:0.383927:0.814622:0.383927:0.798260:0.376464:0.798260:0.000000
b:@0.419972:0.805660:0.429241:0.805660:0.429241:0.789298:0.419972:0.789298:0.000000
a:@0.424574:0.825113:0.433843:0.825113:0.433843:0.808751:0.424574:0.808751:0.000000
2:@0.415415:0.825113:0.424408:0.825113:0.424408:0.809443:0.415415:0.809443:0.000000
2:@0.453525:0.805663:0.462518:0.805663:0.462518:0.789994:0.453525:0.789994:0.000000
2:@0.453525:0.825113:0.462518:0.825113:0.462518:0.809443:0.453525:0.809443:0.000000
1:@0.479121:0.814615:0.488114:0.814615:0.488114:0.798946:0.479121:0.798946:0.000000
f:@0.107719:0.847049:0.112418:0.847049:0.112418:0.830687:0.107719:0.830687:0.000000
b:@0.143840:0.838168:0.153109:0.838168:0.153109:0.821807:0.143840:0.821807:0.000000
2:@0.139289:0.857503:0.148281:0.857503:0.148281:0.841114:0.139289:0.841114:0.000000
a:@0.148447:0.857503:0.157716:0.857503:0.157716:0.841142:0.148447:0.841142:0.000000
=:@0.171954:0.847726:0.182071:0.847726:0.182071:0.832153:0.171954:0.832153:0.000000
f:@0.185259:0.847049:0.189958:0.847049:0.189958:0.830687:0.185259:0.830687:0.000000
(1) 1 2(1) 3:@0.192483:0.847049:0.292506:0.847049:0.292506:0.830660:0.192483:0.830660:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.211371:0.847726:0.221488:0.847726:0.221488:0.832153:0.211371:0.832153:0.000000
=:@0.294865:0.847726:0.304982:0.847726:0.304982:0.832153:0.294865:0.832153:0.000000
4; (1, 4):@0.322158:0.847049:0.387454:0.847049:0.387454:0.830660:0.322158:0.830660:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V:@0.335610:0.847049:0.344732:0.847049:0.344732:0.830687:0.335610:0.830687:0.000000
Determinamos la ecuación del eje de simetría. :@0.103426:0.880639:0.414947:0.880639:0.414947:0.866394:0.103426:0.866394:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=−:@0.427884:0.881790:0.451766:0.881790:0.451766:0.866218:0.427884:0.866218:0.000000:0.000000
==:@0.478193:0.881790:0.516522:0.881790:0.516522:0.866218:0.478193:0.866218:0.000000:0.000000
x:@0.416000:0.881113:0.423463:0.881113:0.423463:0.864752:0.416000:0.864752:0.000000
b:@0.459507:0.872151:0.468776:0.872151:0.468776:0.855789:0.459507:0.855789:0.000000
a:@0.464114:0.891596:0.473383:0.891596:0.473383:0.875235:0.464114:0.875235:0.000000
2:@0.454956:0.891596:0.463948:0.891596:0.463948:0.875926:0.454956:0.875926:0.000000
2:@0.493061:0.872154:0.502053:0.872154:0.502053:0.856485:0.493061:0.856485:0.000000
2:@0.493061:0.891604:0.502053:0.891604:0.502053:0.875934:0.493061:0.875934:0.000000
1:@0.518657:0.881106:0.527649:0.881106:0.527649:0.865437:0.518657:0.865437:0.000000
 ,   = 1:@0.527509:0.880639:0.570043:0.880639:0.570043:0.866394:0.527509:0.866394:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.537761:0.880639:0.544546:0.880639:0.544546:0.865765:0.537761:0.865765:0.000000
Tomamos valores de   a los dos lados del eje de simetría. Elaboramos una tabla :@0.103422:0.904527:0.632005:0.904527:0.632005:0.890282:0.103422:0.890282:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.244241:0.904527:0.251025:0.904527:0.251025:0.889654:0.244241:0.889654:0.000000
de valores y graficamos. :@0.103422:0.919615:0.265801:0.919615:0.265801:0.905370:0.103422:0.905370:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Graficamos la función y =  .:@0.412148:0.565897:0.602680:0.565897:0.602680:0.551652:0.412148:0.551652:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.585201:0.565897:0.595001:0.565897:0.595001:0.551023:0.585201:0.551023:0.000000:0.000000
2:@0.594999:0.560400:0.599765:0.560400:0.599765:0.552095:0.594999:0.552095:0.000000
La gráfica de   = (  + 4)  indica que la gráfica inicial   =   se desplazó :@0.412155:0.584543:0.876016:0.584549:0.876016:0.570304:0.412155:0.570298:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.500222:0.584543:0.507024:0.584543:0.507024:0.569669:0.500222:0.569669:0.000000
x:@0.528785:0.584543:0.535570:0.584543:0.535570:0.569669:0.528785:0.569669:0.000000
2:@0.565498:0.579052:0.570264:0.579052:0.570264:0.570747:0.565498:0.570747:0.000000
y:@0.752529:0.584549:0.759330:0.584549:0.759330:0.569676:0.752529:0.569676:0.000000
x :@0.776652:0.584549:0.786452:0.584549:0.786452:0.569676:0.776652:0.569676:0.000000:0.000000
2:@0.786450:0.579052:0.791217:0.579052:0.791217:0.570747:0.786450:0.570747:0.000000
hacia la izquierda 4 unidades y la gráfica de   = (  – 2)  indica que se :@0.412143:0.599637:0.866678:0.599637:0.866678:0.585392:0.412143:0.585392:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.702911:0.599637:0.709713:0.599637:0.709713:0.584763:0.702911:0.584763:0.000000
x:@0.731474:0.599637:0.738259:0.599637:0.738259:0.584763:0.731474:0.584763:0.000000
2:@0.766591:0.594139:0.771357:0.594139:0.771357:0.585834:0.766591:0.585834:0.000000
desplazó hacia la derecha 2 unidades.:@0.412152:0.614725:0.662898:0.614725:0.662898:0.600479:0.412152:0.600479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En forma general, en la función  ( ) = (  +  ) . Si   > 0, se desplaza la :@0.412152:0.633370:0.863629:0.633377:0.863629:0.619131:0.412152:0.619125:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.622945:0.633370:0.638441:0.633370:0.638441:0.618497:0.622945:0.618497:0.000000:0.000000:0.000000
x:@0.664642:0.633370:0.671427:0.633370:0.671427:0.618497:0.664642:0.618497:0.000000
h:@0.688749:0.633370:0.697393:0.633370:0.697393:0.618497:0.688749:0.618497:0.000000
2:@0.701826:0.627879:0.706592:0.627879:0.706592:0.619574:0.701826:0.619574:0.000000
h:@0.728119:0.633377:0.736763:0.633377:0.736763:0.618503:0.728119:0.618503:0.000000
gráfica   =   hacia la izquierda   unidades. Si   < 0, se desplaza la :@0.412152:0.648464:0.852153:0.648464:0.852153:0.634219:0.412152:0.634219:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.460533:0.648464:0.467334:0.648464:0.467334:0.633590:0.460533:0.633590:0.000000
x :@0.484656:0.648464:0.494456:0.648464:0.494456:0.633590:0.484656:0.633590:0.000000:0.000000
2:@0.494451:0.642967:0.499217:0.642967:0.499217:0.634662:0.494451:0.634662:0.000000
h:@0.621408:0.648464:0.630052:0.648464:0.630052:0.633590:0.621408:0.633590:0.000000
h:@0.716643:0.648464:0.725287:0.648464:0.725287:0.633590:0.716643:0.633590:0.000000
función inicial a la derecha   unidades.:@0.412155:0.663552:0.669301:0.663552:0.669301:0.649307:0.412155:0.649307:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.592677:0.663552:0.601321:0.663552:0.601321:0.648678:0.592677:0.648678:0.000000
f(x):@0.173572:0.242515:0.189002:0.242515:0.189002:0.231002:0.173572:0.231002:0.000000:0.000000:0.000000:0.000000
0:@0.189085:0.380652:0.194710:0.380652:0.194710:0.370851:0.189085:0.370851:0.000000
x:@0.314653:0.376598:0.319904:0.376598:0.319904:0.365086:0.314653:0.365086:0.000000
Dos unidades :@0.217727:0.398231:0.283100:0.398231:0.283100:0.388431:0.217727:0.388431:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hacia abajo.:@0.217727:0.406881:0.271667:0.406881:0.271667:0.397081:0.217727:0.397081:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Vértice (0, – ): (0, :@0.217727:0.416942:0.296366:0.416942:0.296366:0.407141:0.217727:0.407141:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.270779:0.416942:0.275574:0.416942:0.275574:0.406708:0.270779:0.406708:0.000000
–2):@0.296364:0.417292:0.313157:0.417292:0.313157:0.405896:0.296364:0.405896:0.000000:0.000000:0.000000
Tres unidades :@0.217727:0.256855:0.283204:0.256855:0.283204:0.247055:0.217727:0.247055:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hacia arriba.:@0.217727:0.265506:0.272645:0.265506:0.272645:0.255705:0.217727:0.255705:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Vértice (0,  ): (0, 3):@0.217727:0.274156:0.299282:0.274156:0.299282:0.264355:0.217727:0.264355:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.265016:0.274156:0.269811:0.274156:0.269811:0.263923:0.265016:0.263923:0.000000
y:@0.241135:0.361065:0.245815:0.361065:0.245815:0.350831:0.241135:0.350831:0.000000
 =   – 2:@0.245815:0.361065:0.282118:0.361067:0.282118:0.351266:0.245815:0.351264:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.257732:0.361065:0.262400:0.361065:0.262400:0.350831:0.257732:0.350831:0.000000
2:@0.262404:0.357284:0.265683:0.357284:0.265683:0.351571:0.262404:0.351571:0.000000
y:@0.141366:0.277471:0.146046:0.277471:0.146046:0.267238:0.141366:0.267238:0.000000
 =   + 3:@0.146046:0.277471:0.183455:0.277467:0.183455:0.267667:0.146046:0.267670:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.157963:0.277471:0.162631:0.277471:0.162631:0.267238:0.157963:0.267238:0.000000
2:@0.162635:0.273685:0.165914:0.273685:0.165914:0.267971:0.162635:0.267971:0.000000
y:@0.205723:0.338253:0.210402:0.338253:0.210402:0.328019:0.205723:0.328019:0.000000
 = :@0.210402:0.338253:0.222320:0.338253:0.222320:0.328452:0.210402:0.328452:0.000000:0.000000:0.000000
x:@0.222315:0.338601:0.227743:0.338601:0.227743:0.326702:0.222315:0.326702:0.000000
2:@0.227743:0.334203:0.231556:0.334203:0.231556:0.327559:0.227743:0.327559:0.000000
1:@0.187472:0.359886:0.192393:0.359886:0.192393:0.351310:0.187472:0.351310:0.000000
–1:@0.182429:0.390533:0.192393:0.390533:0.192393:0.381957:0.182429:0.381957:0.000000:0.000000
–2:@0.182429:0.405860:0.192393:0.405860:0.192393:0.397284:0.182429:0.397284:0.000000:0.000000
2:@0.187472:0.344559:0.192393:0.344559:0.192393:0.335983:0.187472:0.335983:0.000000
3:@0.187472:0.329232:0.192393:0.329232:0.192393:0.320656:0.187472:0.320656:0.000000
4:@0.187472:0.313905:0.192393:0.313905:0.192393:0.305329:0.187472:0.305329:0.000000
5:@0.187472:0.298578:0.192393:0.298578:0.192393:0.290002:0.187472:0.290002:0.000000
6:@0.187472:0.283250:0.192393:0.283250:0.192393:0.274675:0.187472:0.274675:0.000000
7:@0.187472:0.267923:0.192393:0.267923:0.192393:0.259348:0.187472:0.259348:0.000000
–1:@0.172344:0.381609:0.182308:0.381609:0.182308:0.373033:0.172344:0.373033:0.000000:0.000000
1:@0.215700:0.381609:0.220621:0.381609:0.220621:0.373033:0.215700:0.373033:0.000000
2:@0.236122:0.381609:0.241043:0.381609:0.241043:0.373033:0.236122:0.373033:0.000000
3:@0.256544:0.381609:0.261465:0.381609:0.261465:0.373033:0.256544:0.373033:0.000000
4:@0.276966:0.381609:0.281887:0.381609:0.281887:0.373033:0.276966:0.373033:0.000000
–2:@0.151933:0.381609:0.161897:0.381609:0.161897:0.373033:0.151933:0.373033:0.000000:0.000000
–3:@0.131511:0.381609:0.141474:0.381609:0.141474:0.373033:0.131511:0.373033:0.000000:0.000000
–4:@0.111088:0.381609:0.121052:0.381609:0.121052:0.373033:0.111088:0.373033:0.000000:0.000000
f(x):@0.243671:0.562320:0.257785:0.562320:0.257785:0.551790:0.243671:0.551790:0.000000:0.000000:0.000000:0.000000
0:@0.257860:0.664771:0.263005:0.664771:0.263005:0.655806:0.257860:0.655806:0.000000
x:@0.384810:0.661061:0.389614:0.661061:0.389614:0.650531:0.384810:0.650531:0.000000
Dos unidades :@0.331896:0.639781:0.391695:0.639781:0.391695:0.630816:0.331896:0.630816:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a la derecha:@0.331896:0.647693:0.382418:0.647693:0.382418:0.638728:0.331896:0.638728:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cuatro :@0.120102:0.635864:0.150592:0.635864:0.150592:0.626899:0.120102:0.626899:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
unidades :@0.120102:0.643776:0.161166:0.643776:0.161166:0.634811:0.120102:0.634811:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a la izquierda:@0.120102:0.651689:0.175040:0.651689:0.175040:0.642724:0.120102:0.642724:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.330694:0.570593:0.334974:0.570593:0.334974:0.561232:0.330694:0.561232:0.000000
 = (  – 2):@0.334976:0.570589:0.370769:0.570589:0.370769:0.561624:0.334976:0.561624:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.348671:0.570589:0.352941:0.570589:0.352941:0.561229:0.348671:0.561229:0.000000
2:@0.370772:0.567129:0.373771:0.567129:0.373771:0.561902:0.370772:0.561902:0.000000
y:@0.140245:0.570587:0.144526:0.570587:0.144526:0.561227:0.140245:0.561227:0.000000
 = (  + 4):@0.144526:0.570587:0.181330:0.570587:0.181330:0.561623:0.144526:0.561623:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.158221:0.570587:0.162491:0.570587:0.162491:0.561227:0.158221:0.561227:0.000000
2:@0.181330:0.567129:0.184330:0.567129:0.184330:0.561902:0.181330:0.561902:0.000000
y:@0.212862:0.572197:0.217142:0.572197:0.217142:0.562836:0.212862:0.562836:0.000000
 = :@0.217142:0.572197:0.228044:0.572197:0.228044:0.563232:0.217142:0.563232:0.000000:0.000000:0.000000
x:@0.228043:0.572733:0.233471:0.572733:0.233471:0.560834:0.228043:0.560834:0.000000
2:@0.233471:0.568335:0.237283:0.568335:0.237283:0.561691:0.233471:0.561691:0.000000
1:@0.256584:0.645697:0.261086:0.645697:0.261086:0.637852:0.256584:0.637852:0.000000
–1:@0.251971:0.673730:0.261086:0.673730:0.261086:0.665886:0.251971:0.665886:0.000000:0.000000
2:@0.256584:0.631676:0.261086:0.631676:0.261086:0.623832:0.256584:0.623832:0.000000
3:@0.256584:0.617656:0.261086:0.617656:0.261086:0.609812:0.256584:0.609812:0.000000
4:@0.256584:0.603636:0.261086:0.603636:0.261086:0.595791:0.256584:0.595791:0.000000
5:@0.256584:0.589616:0.261086:0.589616:0.261086:0.581771:0.256584:0.581771:0.000000
6:@0.256584:0.575595:0.261086:0.575595:0.261086:0.567751:0.256584:0.567751:0.000000
–1:@0.242580:0.665630:0.251695:0.665630:0.251695:0.657785:0.242580:0.657785:0.000000:0.000000
1:@0.282239:0.665630:0.286741:0.665630:0.286741:0.657785:0.282239:0.657785:0.000000
2:@0.300919:0.665630:0.305421:0.665630:0.305421:0.657785:0.300919:0.657785:0.000000
3:@0.319600:0.665630:0.324102:0.665630:0.324102:0.657785:0.319600:0.657785:0.000000
4:@0.338281:0.665630:0.342783:0.665630:0.342783:0.657785:0.338281:0.657785:0.000000
5:@0.356962:0.665630:0.361463:0.665630:0.361463:0.657785:0.356962:0.657785:0.000000
–2:@0.223909:0.665630:0.233023:0.665630:0.233023:0.657785:0.223909:0.657785:0.000000:0.000000
–3:@0.205228:0.665630:0.214342:0.665630:0.214342:0.657785:0.205228:0.657785:0.000000:0.000000
–4:@0.186547:0.665630:0.195662:0.665630:0.195662:0.657785:0.186547:0.657785:0.000000:0.000000
–5:@0.167867:0.665630:0.176981:0.665630:0.176981:0.657785:0.167867:0.657785:0.000000:0.000000
–6:@0.149186:0.665630:0.158300:0.665630:0.158300:0.657785:0.149186:0.657785:0.000000:0.000000
f(x):@0.742601:0.783851:0.756865:0.783851:0.756865:0.773209:0.742601:0.773209:0.000000:0.000000:0.000000:0.000000
0:@0.756939:0.870882:0.762139:0.870882:0.762139:0.861822:0.756939:0.861822:0.000000
x:@0.884343:0.867134:0.889198:0.867134:0.889198:0.856492:0.884343:0.856492:0.000000
eje de simetría :@0.796505:0.880927:0.796505:0.832709:0.784434:0.832709:0.784434:0.880927:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.796505:0.832709:0.796505:0.829470:0.783901:0.829470:0.783901:0.832709:0.000000
 = 1:@0.796505:0.829470:0.796505:0.817300:0.784434:0.817300:0.784434:0.829470:0.000000:0.000000:0.000000:0.000000
decreciente:@0.687099:0.881861:0.737260:0.881861:0.737260:0.872801:0.687099:0.872801:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(–∞, 1]:@0.687099:0.889857:0.715056:0.889857:0.715056:0.880797:0.687099:0.880797:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
creciente:@0.837232:0.843926:0.876430:0.843926:0.876430:0.834866:0.837232:0.834866:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
[1, +∞):@0.837232:0.851922:0.866212:0.851922:0.866212:0.842862:0.837232:0.842862:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1 > 0:@0.795839:0.783497:0.817254:0.783497:0.817254:0.774437:0.795839:0.774437:0.000000:0.000000:0.000000:0.000000:0.000000
cóncava hacia arriba:@0.795839:0.791493:0.882396:0.791493:0.882396:0.782433:0.795839:0.782433:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dom: :@0.816764:0.912119:0.842303:0.912119:0.842303:0.903059:0.816764:0.903059:0.000000:0.000000:0.000000:0.000000:0.000000
todos los :@0.842303:0.912159:0.880669:0.912159:0.880669:0.903035:0.842303:0.903035:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.881009:0.912738:0.888876:0.912738:0.888876:0.902898:0.881009:0.902898:0.000000
Rec: [–4, + ∞):@0.816766:0.922176:0.872947:0.922176:0.872947:0.913116:0.816766:0.913116:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V:@0.707408:0.912236:0.712682:0.912236:0.712682:0.902776:0.707408:0.902776:0.000000
(1, –4):@0.712682:0.912236:0.738242:0.912236:0.738242:0.903176:0.712682:0.903176:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V:@0.788073:0.927909:0.793347:0.927909:0.793347:0.918449:0.788073:0.918449:0.000000
1:@0.755683:0.852092:0.760232:0.852092:0.760232:0.844165:0.755683:0.844165:0.000000
–1:@0.751022:0.880422:0.760232:0.880422:0.760232:0.872495:0.751022:0.872495:0.000000:0.000000
–2:@0.751022:0.894591:0.760232:0.894591:0.760232:0.886664:0.751022:0.886664:0.000000:0.000000
–3:@0.751022:0.908760:0.760232:0.908760:0.760232:0.900832:0.751022:0.900832:0.000000:0.000000
–4:@0.751022:0.922928:0.760232:0.922928:0.760232:0.915001:0.751022:0.915001:0.000000:0.000000
2:@0.755683:0.837930:0.760232:0.837930:0.760232:0.830003:0.755683:0.830003:0.000000
3:@0.755683:0.823762:0.760232:0.823762:0.760232:0.815834:0.755683:0.815834:0.000000
4:@0.755683:0.809593:0.760232:0.809593:0.760232:0.801666:0.755683:0.801666:0.000000
5:@0.755683:0.795424:0.760232:0.795424:0.760232:0.787497:0.755683:0.787497:0.000000
–2:@0.722709:0.871753:0.731919:0.871753:0.731919:0.863826:0.722709:0.863826:0.000000:0.000000
–1:@0.741587:0.871753:0.750798:0.871753:0.750798:0.863826:0.741587:0.863826:0.000000:0.000000
1:@0.781675:0.871753:0.786224:0.871753:0.786224:0.863826:0.781675:0.863826:0.000000
2:@0.800553:0.871753:0.805103:0.871753:0.805103:0.863826:0.800553:0.863826:0.000000
3:@0.819432:0.871753:0.823981:0.871753:0.823981:0.863826:0.819432:0.863826:0.000000
4:@0.838310:0.871753:0.842860:0.871753:0.842860:0.863826:0.838310:0.863826:0.000000
5:@0.857189:0.871753:0.861738:0.871753:0.861738:0.863826:0.857189:0.863826:0.000000
–3:@0.703849:0.871753:0.713060:0.871753:0.713060:0.863826:0.703849:0.863826:0.000000:0.000000
–4:@0.684970:0.871753:0.694181:0.871753:0.694181:0.863826:0.684970:0.863826:0.000000:0.000000
Archivo editorial.:@0.841695:0.697078:0.904828:0.697078:0.904828:0.688470:0.841695:0.688470:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Archivo editorial.:@0.841695:0.447219:0.904828:0.447219:0.904828:0.438612:0.841695:0.438612:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
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