117:@0.938423:0.974518:0.967620:0.974518:0.967620:0.956590:0.938423:0.956590:0.000000:0.000000:0.000000
Pensamiento numérico y variacional :@0.603816:0.043660:0.930949:0.043660:0.930949:0.024915:0.603816:0.024915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Desplazamiento vertical de la función cuadrática de la forma  ( ) = :@0.073089:0.136836:0.577761:0.136836:0.577761:0.120167:0.073089:0.120167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.533749:0.136836:0.554052:0.136836:0.554052:0.119681:0.533749:0.119681:0.000000:0.000000:0.000000
ax :@0.577668:0.136836:0.600273:0.136836:0.600273:0.119681:0.577668:0.119681:0.000000:0.000000:0.000000
2 + :@0.600217:0.136836:0.624497:0.136836:0.624497:0.120167:0.600217:0.120167:0.000000:0.000000:0.000000:0.000000
c:@0.624405:0.136836:0.632412:0.136836:0.632412:0.119681:0.624405:0.119681:0.000000
Trazamos y analizamos la gráfica de las siguientes funciones cuadráticas:  :@0.073070:0.164198:0.609311:0.164198:0.609311:0.147764:0.073070:0.147764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.073070:0.180840:0.089950:0.180840:0.089950:0.164434:0.073070:0.164434:0.000000:0.000000:0.000000
( ) =  2 + 3:@0.077691:0.180840:0.157081:0.180840:0.157081:0.164406:0.077691:0.164406:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.113456:0.180840:0.124151:0.180840:0.124151:0.164434:0.113456:0.164434:0.000000:0.000000
y  g x:@0.156971:0.180840:0.192331:0.180840:0.192331:0.164434:0.156971:0.164434:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ) =  2 – 2.:@0.180072:0.180840:0.260824:0.180840:0.260824:0.164406:0.180072:0.164406:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.215837:0.180840:0.226532:0.180840:0.226532:0.164434:0.215837:0.164434:0.000000:0.000000
Desplazamiento horizontal de la función cuadrática de la forma  ( ) = (  + )2:@0.073623:0.473750:0.653341:0.473750:0.653341:0.457081:0.073623:0.457081:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.555948:0.473750:0.576251:0.473750:0.576251:0.456595:0.555948:0.456595:0.000000:0.000000:0.000000
x  h:@0.605022:0.473750:0.642517:0.473750:0.642517:0.456595:0.605022:0.456595:0.000000:0.000000:0.000000:0.000000
Trazamos y analizamos la gráfica de las siguientes funciones cuadráticas:  :@0.073641:0.501112:0.603255:0.501112:0.603255:0.484678:0.073641:0.484678:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.073641:0.517754:0.090521:0.517754:0.090521:0.501348:0.073641:0.501348:0.000000:0.000000:0.000000
( ) = (  + 4)2,  ( ) = ( – 2)2.:@0.078261:0.517754:0.266512:0.519016:0.266512:0.502582:0.078261:0.501320:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.118831:0.517754:0.126286:0.517754:0.126286:0.501348:0.118831:0.501348:0.000000
g x:@0.170960:0.517754:0.192405:0.517754:0.192405:0.501348:0.170960:0.501348:0.000000:0.000000:0.000000
x :@0.220715:0.517754:0.231410:0.517754:0.231410:0.501348:0.220715:0.501348:0.000000:0.000000
Ejemplo 1 :@0.073623:0.711964:0.153308:0.711964:0.153308:0.695295:0.073623:0.695295:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Graficamos la función   =  2 – 2 – 3. Luego, determinamos la concavidad, eje de simetría, :@0.073623:0.739326:0.710512:0.739326:0.710512:0.722892:0.073623:0.722892:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y x :@0.231281:0.739326:0.266844:0.739326:0.266844:0.722920:0.231281:0.722920:0.000000:0.000000:0.000000:0.000000
x :@0.296111:0.739326:0.306732:0.739326:0.306732:0.722920:0.296111:0.722920:0.000000:0.000000
vértice, dominio y recorrido de la función.:@0.073623:0.755968:0.375238:0.755968:0.375238:0.739534:0.073623:0.739534:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Graficamos la función y = x 2.:@0.340174:0.215250:0.546603:0.215250:0.546603:0.199843:0.340174:0.199843:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La gráfica de   =  2 + 3 indica que la gráfica inicial   =  2 se desplazó hacia :@0.340174:0.233946:0.836513:0.233946:0.836513:0.219007:0.340174:0.219007:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.428144:0.233946:0.434937:0.233946:0.434937:0.219032:0.428144:0.219032:0.000000
x :@0.452240:0.233946:0.462030:0.233946:0.462030:0.219032:0.452240:0.219032:0.000000:0.000000
y:@0.674347:0.233946:0.681141:0.233946:0.681141:0.219032:0.674347:0.219032:0.000000
x :@0.698444:0.233946:0.708233:0.233946:0.708233:0.219032:0.698444:0.219032:0.000000:0.000000
arriba 3 unidades.:@0.340174:0.249075:0.457945:0.249075:0.457945:0.234135:0.340174:0.234135:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El dominio son los   y el recorrido [3, + ∞).:@0.340174:0.267772:0.624213:0.267772:0.624213:0.252832:0.340174:0.252832:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ:@0.465510:0.268302:0.477592:0.268302:0.477592:0.252252:0.465510:0.252252:0.000000
La gráfica de la función   =  2 – 2 indica que la gráfica   =  2 se desplazó hacia :@0.340174:0.286469:0.862717:0.286469:0.862717:0.271529:0.340174:0.271529:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.497689:0.286469:0.504483:0.286469:0.504483:0.271554:0.497689:0.271554:0.000000
x :@0.521786:0.286469:0.531576:0.286469:0.531576:0.271554:0.521786:0.271554:0.000000:0.000000
y:@0.700552:0.286469:0.707346:0.286469:0.707346:0.271554:0.700552:0.271554:0.000000
x :@0.724649:0.286469:0.734439:0.286469:0.734439:0.271554:0.724649:0.271554:0.000000:0.000000
abajo 2 unidades.:@0.340174:0.301598:0.456824:0.301598:0.456824:0.286658:0.340174:0.286658:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El dominio son los   y el recorrido [–2, + ∞).:@0.340174:0.320295:0.632580:0.320295:0.632580:0.305355:0.340174:0.305355:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ:@0.465510:0.320824:0.477592:0.320824:0.477592:0.304775:0.465510:0.304775:0.000000
En forma general, en la función  ( ) = :@0.340174:0.338992:0.587950:0.338992:0.587950:0.324052:0.340174:0.324052:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.550734:0.338992:0.566213:0.338992:0.566213:0.324077:0.550734:0.324077:0.000000:0.000000:0.000000
ax :@0.587950:0.338992:0.606157:0.338992:0.606157:0.324077:0.587950:0.324077:0.000000:0.000000:0.000000
2 +  , con   > 0 se puede decir: si   > 0, :@0.606157:0.338992:0.865880:0.338992:0.865880:0.324052:0.606157:0.324052:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.628245:0.338992:0.635207:0.338992:0.635207:0.324077:0.628245:0.324077:0.000000
a:@0.670783:0.338992:0.679200:0.338992:0.679200:0.324077:0.670783:0.324077:0.000000
c:@0.826873:0.338992:0.833834:0.338992:0.833834:0.324077:0.826873:0.324077:0.000000
la función se desplaza   unidades hacia arriba.:@0.340174:0.354121:0.645130:0.354121:0.645130:0.339181:0.340174:0.339181:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.489590:0.354121:0.496552:0.354121:0.496552:0.339206:0.489590:0.339206:0.000000
Si   < 0, la función se desplaza   unidades hacia abajo. :@0.340174:0.372817:0.701304:0.372817:0.701304:0.357878:0.340174:0.357878:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.355100:0.372817:0.362061:0.372817:0.362061:0.357903:0.355100:0.357903:0.000000
c:@0.543524:0.372817:0.550485:0.372817:0.550485:0.357903:0.543524:0.357903:0.000000
El dominio son todos los reales, los  .:@0.340174:0.391514:0.589505:0.391514:0.589505:0.376574:0.340174:0.376574:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ:@0.574511:0.392044:0.586593:0.392044:0.586593:0.375995:0.574511:0.375995:0.000000
El recorrido: si   > 0, y ≥  , si   < 0, y ≤  .:@0.340174:0.406643:0.603027:0.406643:0.603027:0.391703:0.340174:0.391703:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.435957:0.406643:0.444374:0.406643:0.444374:0.391729:0.435957:0.391729:0.000000
c:@0.501085:0.406643:0.508046:0.406643:0.508046:0.391729:0.501085:0.391729:0.000000
a:@0.528026:0.406643:0.536443:0.406643:0.536443:0.391729:0.528026:0.391729:0.000000
c:@0.593155:0.406643:0.600116:0.406643:0.600116:0.391729:0.593155:0.391729:0.000000
Eje de simetría, eje  . :@0.340174:0.421772:0.480519:0.421772:0.480519:0.406832:0.340174:0.406832:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.467148:0.421772:0.473942:0.421772:0.473942:0.406858:0.467148:0.406858:0.000000
Vértice (0,  ).:@0.340174:0.436901:0.423140:0.436901:0.423140:0.421961:0.340174:0.421961:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.408833:0.436901:0.415794:0.436901:0.415794:0.421986:0.408833:0.421986:0.000000
Reconocemos en la función   =  2 – 2  – 3, los coeficientes:   = 1,   = –2 y   = –3. :@0.082785:0.785522:0.612863:0.785522:0.612863:0.770582:0.082785:0.770582:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.267711:0.785522:0.274505:0.785522:0.274505:0.770608:0.267711:0.770608:0.000000
x :@0.291306:0.785522:0.301095:0.785522:0.301095:0.770608:0.291306:0.770608:0.000000:0.000000
x:@0.328907:0.785522:0.335684:0.785522:0.335684:0.770608:0.328907:0.770608:0.000000
a:@0.471262:0.785522:0.479679:0.785522:0.479679:0.770608:0.471262:0.770608:0.000000
b:@0.510720:0.785522:0.519137:0.785522:0.519137:0.770608:0.510720:0.770608:0.000000
c:@0.566327:0.785522:0.573288:0.785522:0.573288:0.770608:0.566327:0.770608:0.000000
Determinamos el vértice de la parábola: :@0.082785:0.810435:0.351444:0.810435:0.351444:0.795495:0.082785:0.795495:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.466906:0.810430:0.469818:0.810430:0.469818:0.795490:0.466906:0.795490:0.000000
f:@0.090725:0.843524:0.095418:0.843524:0.095418:0.827118:0.090725:0.827118:0.000000
b:@0.126807:0.834621:0.136066:0.834621:0.136066:0.818215:0.126807:0.818215:0.000000
2:@0.122260:0.854009:0.131243:0.854009:0.131243:0.837575:0.122260:0.837575:0.000000
a:@0.131409:0.854009:0.140668:0.854009:0.140668:0.837602:0.131409:0.837602:0.000000
=:@0.154888:0.844204:0.164993:0.844204:0.164993:0.828588:0.154888:0.828588:0.000000
f:@0.168178:0.843524:0.172872:0.843524:0.172872:0.827118:0.168178:0.827118:0.000000
(1) 1 2(1) 3:@0.175394:0.843524:0.275308:0.843524:0.275308:0.827090:0.175394:0.827090:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.194261:0.844204:0.204367:0.844204:0.204367:0.828588:0.194261:0.828588:0.000000
=:@0.277664:0.844204:0.287770:0.844204:0.287770:0.828588:0.277664:0.828588:0.000000
4; (1, 4):@0.304927:0.843524:0.370151:0.843524:0.370151:0.827090:0.304927:0.827090:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V:@0.318364:0.843524:0.327476:0.843524:0.327476:0.827118:0.318364:0.827118:0.000000
Determinamos la ecuación del eje de simetría. :@0.082785:0.877249:0.393961:0.877249:0.393961:0.862309:0.082785:0.862309:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ,   = 1.:@0.506398:0.877249:0.551797:0.877249:0.551797:0.862309:0.506398:0.862309:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.516639:0.877249:0.523416:0.877249:0.523416:0.862334:0.516639:0.862334:0.000000
Tomamos valores de   a los dos lados del eje de simetría. Elaboramos una tabla :@0.082780:0.908352:0.610728:0.908352:0.610728:0.893412:0.082780:0.893412:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.223443:0.908352:0.230220:0.908352:0.230220:0.893437:0.223443:0.893437:0.000000
de valores y graficamos. :@0.082780:0.923481:0.244980:0.923481:0.244980:0.908541:0.082780:0.908541:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Graficamos la función y = x  .:@0.387529:0.548761:0.593610:0.548761:0.593610:0.533354:0.387529:0.533354:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.584433:0.543248:0.589662:0.543248:0.589662:0.534266:0.584433:0.534266:0.000000
La gráfica de   = (  + 4)  indica que la gráfica inicial   =   se desplazó :@0.387532:0.571038:0.850883:0.571037:0.850883:0.556097:0.387532:0.556098:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.475502:0.571038:0.482296:0.571038:0.482296:0.556123:0.475502:0.556123:0.000000
x:@0.504033:0.571038:0.510810:0.571038:0.510810:0.556123:0.504033:0.556123:0.000000
2:@0.540709:0.565524:0.545470:0.565524:0.545470:0.556814:0.540709:0.556814:0.000000
y:@0.727532:0.571037:0.734326:0.571037:0.734326:0.556122:0.727532:0.556122:0.000000
x :@0.751629:0.571037:0.761419:0.571037:0.761419:0.556122:0.751629:0.556122:0.000000:0.000000
2:@0.761417:0.565524:0.766178:0.565524:0.766178:0.556814:0.761417:0.556814:0.000000
hacia la izquierda 4 unidades y la gráfica de   = (  – 2)  indica que se :@0.387524:0.586166:0.841555:0.586166:0.841555:0.571226:0.387524:0.571226:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.677970:0.586166:0.684764:0.586166:0.684764:0.571251:0.677970:0.571251:0.000000
x:@0.706501:0.586166:0.713279:0.586166:0.713279:0.571251:0.706501:0.571251:0.000000
2:@0.741579:0.580653:0.746340:0.580653:0.746340:0.571943:0.741579:0.571943:0.000000
desplazó hacia la derecha 2 unidades.:@0.387532:0.601295:0.638001:0.601295:0.638001:0.586355:0.387532:0.586355:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En forma general, en la función  ( ) = (  +  ) . Si   > 0, se desplaza la :@0.387532:0.623572:0.838511:0.623571:0.838511:0.608631:0.387532:0.608632:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.598093:0.623572:0.613572:0.623572:0.613572:0.608657:0.598093:0.608657:0.000000:0.000000:0.000000
x:@0.639743:0.623572:0.646520:0.623572:0.646520:0.608657:0.639743:0.608657:0.000000
h:@0.663823:0.623572:0.672458:0.623572:0.672458:0.608657:0.663823:0.608657:0.000000
2:@0.676887:0.618058:0.681648:0.618058:0.681648:0.609348:0.676887:0.609348:0.000000
h:@0.703151:0.623571:0.711786:0.623571:0.711786:0.608656:0.703151:0.608656:0.000000
gráfica   =   hacia la izquierda   unidades. Si   < 0, se desplaza la :@0.387534:0.638700:0.827049:0.638700:0.827049:0.623760:0.387534:0.623760:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.435861:0.638700:0.442655:0.638700:0.442655:0.623785:0.435861:0.623785:0.000000
x :@0.459958:0.638700:0.469747:0.638700:0.469747:0.623785:0.459958:0.623785:0.000000:0.000000
2:@0.469742:0.633187:0.474503:0.633187:0.474503:0.624477:0.469742:0.624477:0.000000
h:@0.596558:0.638700:0.605193:0.638700:0.605193:0.623785:0.596558:0.623785:0.000000
h:@0.691689:0.638700:0.700323:0.638700:0.700323:0.623785:0.691689:0.623785:0.000000
función inicial a la derecha   unidades.:@0.387537:0.653829:0.644397:0.653829:0.644397:0.638889:0.387537:0.638889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.567860:0.653829:0.576494:0.653829:0.576494:0.638914:0.567860:0.638914:0.000000
f(x):@0.157892:0.222409:0.173304:0.222409:0.173304:0.210865:0.157892:0.210865:0.000000:0.000000:0.000000:0.000000
0:@0.173385:0.360926:0.179004:0.360926:0.179004:0.350647:0.173385:0.350647:0.000000
x:@0.298814:0.356860:0.304060:0.356860:0.304060:0.345316:0.298814:0.345316:0.000000
Dos unidades :@0.201995:0.378553:0.267297:0.378553:0.267297:0.368274:0.201995:0.368274:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hacia abajo.:@0.201995:0.387226:0.255876:0.387226:0.255876:0.376948:0.201995:0.376948:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Vértice (0, – ): (0, :@0.201995:0.397314:0.280548:0.397314:0.280548:0.387036:0.201995:0.387036:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.254989:0.397314:0.259779:0.397314:0.259779:0.387053:0.254989:0.387053:0.000000
–2):@0.280546:0.397665:0.297320:0.397665:0.297320:0.385714:0.280546:0.385714:0.000000:0.000000:0.000000
Tres unidades :@0.201995:0.236791:0.267400:0.236791:0.267400:0.226512:0.201995:0.226512:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hacia arriba.:@0.201995:0.245465:0.256853:0.245465:0.256853:0.235186:0.201995:0.235186:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Vértice (0,  ): (0, 3):@0.201995:0.254138:0.283461:0.254138:0.283461:0.243860:0.201995:0.243860:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.249233:0.254138:0.254022:0.254138:0.254022:0.243877:0.249233:0.243877:0.000000
y:@0.225378:0.341285:0.230052:0.341285:0.230052:0.331024:0.225378:0.331024:0.000000
 =   – 2:@0.230052:0.341285:0.266315:0.341287:0.266315:0.331009:0.230052:0.331007:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.241957:0.341285:0.246619:0.341285:0.246619:0.331024:0.241957:0.331024:0.000000
2:@0.246623:0.337495:0.249898:0.337495:0.249898:0.331502:0.246623:0.331502:0.000000
y:@0.125720:0.257463:0.130394:0.257463:0.130394:0.247201:0.125720:0.247201:0.000000
 =   + 3:@0.130394:0.257463:0.167762:0.257459:0.167762:0.247181:0.130394:0.247184:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.142298:0.257463:0.146961:0.257463:0.146961:0.247201:0.142298:0.247201:0.000000
2:@0.146964:0.253667:0.150240:0.253667:0.150240:0.247674:0.146964:0.247674:0.000000
y:@0.190005:0.318411:0.194679:0.318411:0.194679:0.308150:0.190005:0.308150:0.000000
 = :@0.194679:0.318411:0.206583:0.318411:0.206583:0.308132:0.194679:0.308132:0.000000:0.000000:0.000000
x:@0.206579:0.318760:0.212001:0.318760:0.212001:0.306829:0.206579:0.306829:0.000000
2:@0.212001:0.314350:0.215809:0.314350:0.215809:0.307382:0.212001:0.307382:0.000000
1:@0.171776:0.340102:0.176692:0.340102:0.176692:0.331109:0.171776:0.331109:0.000000
–1:@0.166739:0.370837:0.176692:0.370837:0.176692:0.361843:0.166739:0.361843:0.000000:0.000000
–2:@0.166739:0.386206:0.176692:0.386206:0.176692:0.377212:0.166739:0.377212:0.000000:0.000000
2:@0.171776:0.324737:0.176692:0.324737:0.176692:0.315743:0.171776:0.315743:0.000000
3:@0.171776:0.309368:0.176692:0.309368:0.176692:0.300374:0.171776:0.300374:0.000000
4:@0.171776:0.293999:0.176692:0.293999:0.176692:0.285005:0.171776:0.285005:0.000000
5:@0.171776:0.278630:0.176692:0.278630:0.176692:0.269636:0.171776:0.269636:0.000000
6:@0.171776:0.263261:0.176692:0.263261:0.176692:0.254267:0.171776:0.254267:0.000000
7:@0.171776:0.247891:0.176692:0.247891:0.176692:0.238898:0.171776:0.238898:0.000000
–1:@0.156665:0.361889:0.166618:0.361889:0.166618:0.352895:0.156665:0.352895:0.000000:0.000000
1:@0.199972:0.361889:0.204888:0.361889:0.204888:0.352895:0.199972:0.352895:0.000000
2:@0.220372:0.361889:0.225288:0.361889:0.225288:0.352895:0.220372:0.352895:0.000000
3:@0.240771:0.361889:0.245687:0.361889:0.245687:0.352895:0.240771:0.352895:0.000000
4:@0.261170:0.361889:0.266086:0.361889:0.266086:0.352895:0.261170:0.352895:0.000000
–2:@0.136276:0.361889:0.146229:0.361889:0.146229:0.352895:0.136276:0.352895:0.000000:0.000000
–3:@0.115876:0.361889:0.125829:0.361889:0.125829:0.352895:0.115876:0.352895:0.000000:0.000000
–4:@0.095477:0.361889:0.105430:0.361889:0.105430:0.352895:0.095477:0.352895:0.000000:0.000000
f(x):@0.214867:0.550754:0.228966:0.550754:0.228966:0.540194:0.214867:0.540194:0.000000:0.000000:0.000000:0.000000
0:@0.229041:0.653485:0.234180:0.653485:0.234180:0.644083:0.229041:0.644083:0.000000
x:@0.355850:0.649765:0.360648:0.649765:0.360648:0.639206:0.355850:0.639206:0.000000
Dos unidades :@0.302994:0.628428:0.362727:0.628428:0.362727:0.619026:0.302994:0.619026:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a la derecha:@0.302994:0.636362:0.353460:0.636362:0.353460:0.626960:0.302994:0.626960:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cuatro :@0.091435:0.624500:0.121890:0.624500:0.121890:0.615098:0.091435:0.615098:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
unidades :@0.091435:0.632434:0.132453:0.632434:0.132453:0.623032:0.091435:0.623032:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a la izquierda:@0.091435:0.640369:0.146312:0.640369:0.146312:0.630967:0.091435:0.630967:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.301794:0.559051:0.306069:0.559051:0.306069:0.549664:0.301794:0.549664:0.000000
 = (  – 2):@0.306069:0.559051:0.341823:0.559051:0.341823:0.549648:0.306069:0.549648:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.319749:0.559051:0.324014:0.559051:0.324014:0.549664:0.319749:0.549664:0.000000
2:@0.341827:0.555575:0.344823:0.555575:0.344823:0.550094:0.341827:0.550094:0.000000
y:@0.111555:0.559045:0.115831:0.559045:0.115831:0.549659:0.111555:0.549659:0.000000
 = (  + 4):@0.115831:0.559045:0.152595:0.559045:0.152595:0.549643:0.115831:0.549643:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.129511:0.559045:0.133776:0.559045:0.133776:0.549659:0.129511:0.549659:0.000000
2:@0.152595:0.555575:0.155591:0.555575:0.155591:0.550094:0.152595:0.550094:0.000000
y:@0.184092:0.560659:0.188367:0.560659:0.188367:0.551273:0.184092:0.551273:0.000000
 = :@0.188367:0.560659:0.199257:0.560659:0.199257:0.551257:0.188367:0.551257:0.000000:0.000000:0.000000
x:@0.199256:0.561197:0.204678:0.561197:0.204678:0.549265:0.199256:0.549265:0.000000
2:@0.204678:0.556787:0.208486:0.556787:0.208486:0.549819:0.204678:0.549819:0.000000
1:@0.227764:0.634360:0.232261:0.634360:0.232261:0.626133:0.227764:0.626133:0.000000
–1:@0.223157:0.662473:0.232261:0.662473:0.232261:0.654246:0.223157:0.654246:0.000000:0.000000
2:@0.227764:0.620304:0.232261:0.620304:0.232261:0.612077:0.227764:0.612077:0.000000
3:@0.227764:0.606246:0.232261:0.606246:0.232261:0.598019:0.227764:0.598019:0.000000
4:@0.227764:0.592187:0.232261:0.592187:0.232261:0.583960:0.227764:0.583960:0.000000
5:@0.227764:0.578128:0.232261:0.578128:0.232261:0.569901:0.227764:0.569901:0.000000
6:@0.227764:0.564070:0.232261:0.564070:0.232261:0.555843:0.227764:0.555843:0.000000
–1:@0.213776:0.654350:0.222881:0.654350:0.222881:0.646123:0.213776:0.646123:0.000000:0.000000
1:@0.253391:0.654350:0.257888:0.654350:0.257888:0.646123:0.253391:0.646123:0.000000
2:@0.272051:0.654350:0.276548:0.654350:0.276548:0.646123:0.272051:0.646123:0.000000
3:@0.290711:0.654350:0.295208:0.654350:0.295208:0.646123:0.290711:0.646123:0.000000
4:@0.309371:0.654350:0.313868:0.654350:0.313868:0.646123:0.309371:0.646123:0.000000
5:@0.328031:0.654350:0.332528:0.654350:0.332528:0.646123:0.328031:0.646123:0.000000
–2:@0.195125:0.654350:0.204230:0.654350:0.204230:0.646123:0.195125:0.646123:0.000000:0.000000
–3:@0.176465:0.654350:0.185570:0.654350:0.185570:0.646123:0.176465:0.646123:0.000000:0.000000
–4:@0.157805:0.654350:0.166910:0.654350:0.166910:0.646123:0.157805:0.646123:0.000000:0.000000
–5:@0.139145:0.654350:0.148250:0.654350:0.148250:0.646123:0.139145:0.646123:0.000000:0.000000
–6:@0.120485:0.654350:0.129590:0.654350:0.129590:0.646123:0.120485:0.646123:0.000000:0.000000
f(x):@0.715616:0.783099:0.729864:0.783099:0.729864:0.772427:0.715616:0.772427:0.000000:0.000000:0.000000:0.000000
0:@0.729940:0.870368:0.735134:0.870368:0.735134:0.860866:0.729940:0.860866:0.000000
x:@0.857202:0.866609:0.862051:0.866609:0.862051:0.855938:0.857202:0.855938:0.000000
eje de simetría :@0.769461:0.880439:0.769461:0.832089:0.756849:0.832089:0.756849:0.880439:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.769461:0.832089:0.769461:0.828842:0.756870:0.828842:0.756870:0.832089:0.000000
 = 1:@0.769461:0.828842:0.769461:0.816638:0.756849:0.816638:0.756849:0.828842:0.000000:0.000000:0.000000:0.000000
decreciente:@0.660175:0.881375:0.710281:0.881375:0.710281:0.871874:0.660175:0.871874:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(–∞, 1]:@0.660175:0.889394:0.688102:0.889394:0.688102:0.879892:0.660175:0.879892:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
creciente:@0.810142:0.843337:0.849297:0.843337:0.849297:0.833835:0.810142:0.833835:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
[1, +∞):@0.810142:0.851355:0.839090:0.851355:0.839090:0.841853:0.810142:0.841853:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1 > 0:@0.768795:0.782742:0.790187:0.782742:0.790187:0.773240:0.768795:0.773240:0.000000:0.000000:0.000000:0.000000:0.000000
cóncava hacia arriba:@0.768795:0.790760:0.855257:0.790760:0.855257:0.781258:0.768795:0.781258:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dom: todos los :@0.789697:0.913329:0.856064:0.913329:0.856064:0.903827:0.789697:0.903827:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ:@0.856064:0.913665:0.863749:0.913665:0.863749:0.903458:0.856064:0.903458:0.000000
Rec: [–4, + ∞):@0.789697:0.923416:0.845817:0.923416:0.845817:0.913914:0.789697:0.913914:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V:@0.680460:0.911837:0.685729:0.911837:0.685729:0.902352:0.680460:0.902352:0.000000
(1, –4):@0.685729:0.911837:0.711260:0.911837:0.711260:0.902335:0.685729:0.902335:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V:@0.761037:0.927553:0.766305:0.927553:0.766305:0.918067:0.761037:0.918067:0.000000
1:@0.728684:0.851525:0.733228:0.851525:0.733228:0.843211:0.728684:0.843211:0.000000
–1:@0.724028:0.879940:0.733228:0.879940:0.733228:0.871626:0.724028:0.871626:0.000000:0.000000
–2:@0.724028:0.894148:0.733228:0.894148:0.733228:0.885834:0.724028:0.885834:0.000000:0.000000
–3:@0.724028:0.908355:0.733228:0.908355:0.733228:0.900041:0.724028:0.900041:0.000000:0.000000
–4:@0.724028:0.922563:0.733228:0.922563:0.733228:0.914249:0.724028:0.914249:0.000000:0.000000
2:@0.728684:0.837332:0.733228:0.837332:0.733228:0.829018:0.728684:0.829018:0.000000
3:@0.728684:0.823124:0.733228:0.823124:0.733228:0.814810:0.728684:0.814810:0.000000
4:@0.728684:0.808917:0.733228:0.808917:0.733228:0.800603:0.728684:0.800603:0.000000
5:@0.728684:0.794709:0.733228:0.794709:0.733228:0.786395:0.728684:0.786395:0.000000
–2:@0.695746:0.871247:0.704946:0.871247:0.704946:0.862933:0.695746:0.862933:0.000000:0.000000
–1:@0.714603:0.871247:0.723804:0.871247:0.723804:0.862933:0.714603:0.862933:0.000000:0.000000
1:@0.754637:0.871247:0.759182:0.871247:0.759182:0.862933:0.754637:0.862933:0.000000
2:@0.773495:0.871247:0.778039:0.871247:0.778039:0.862933:0.773495:0.862933:0.000000
3:@0.792353:0.871247:0.796897:0.871247:0.796897:0.862933:0.792353:0.862933:0.000000
4:@0.811210:0.871247:0.815755:0.871247:0.815755:0.862933:0.811210:0.862933:0.000000
5:@0.830068:0.871247:0.834612:0.871247:0.834612:0.862933:0.830068:0.862933:0.000000
–3:@0.676897:0.871247:0.686098:0.871247:0.686098:0.862933:0.676897:0.862933:0.000000:0.000000
–4:@0.658040:0.871247:0.667241:0.871247:0.667241:0.862933:0.658040:0.862933:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000