﻿176:@0.024814:0.963884:0.056738:0.963884:0.056738:0.945447:0.024814:0.945447:0.000000:0.000000:0.000000
Función cuadrática:@0.305303:0.084620:0.579604:0.084620:0.579604:0.053892:0.305303:0.053892:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tema 1:@0.124729:0.083964:0.219414:0.083964:0.219414:0.055923:0.124729:0.055923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una función cuadrática definida :@0.319266:0.203378:0.555324:0.203378:0.555324:0.187709:0.319266:0.187709:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.599593:0.203987:0.612897:0.203987:0.612897:0.187239:0.599593:0.187239:0.000000
:@0.637609:0.203987:0.650914:0.203987:0.650914:0.187239:0.637609:0.187239:0.000000
=:@0.586140:0.203793:0.596257:0.203793:0.596257:0.188220:0.586140:0.188220:0.000000
→:@0.616509:0.203793:0.634697:0.203793:0.634697:0.188220:0.616509:0.188220:0.000000
fx:@0.554519:0.203116:0.576374:0.203116:0.576374:0.186754:0.554519:0.186754:0.000000:0.000000
():@0.561742:0.203116:0.583321:0.203116:0.583321:0.186727:0.561742:0.186727:0.000000:0.000000
 es de la forma  ( ) = :@0.653220:0.203378:0.799941:0.203378:0.799941:0.187709:0.653220:0.187709:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.759769:0.203378:0.776815:0.203378:0.776815:0.187017:0.759769:0.187017:0.000000:0.000000:0.000000
ax :@0.799130:0.203378:0.819180:0.203378:0.819180:0.187017:0.799130:0.187017:0.000000:0.000000:0.000000
2 + b  +  , :@0.818516:0.203378:0.891195:0.203378:0.891195:0.187709:0.818516:0.187709:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x c:@0.851391:0.203378:0.883953:0.203378:0.883953:0.187017:0.851391:0.187017:0.000000:0.000000:0.000000
con  ,   y   números reales y   ≠ 0. Su gráfica es una parábola. :@0.315902:0.219975:0.773459:0.219975:0.773459:0.204305:0.315902:0.204305:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b c:@0.347838:0.219975:0.397463:0.219975:0.397463:0.203614:0.347838:0.203614:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.529571:0.219975:0.538840:0.219975:0.538840:0.203614:0.529571:0.203614:0.000000
El lienzo cuadrado de una pintura se aumenta sus lados paralelos en 7 :@0.304744:0.255198:0.826043:0.255198:0.826043:0.239528:0.304744:0.239528:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cm:@0.826854:0.255198:0.849059:0.255198:0.849059:0.238837:0.826854:0.238837:0.000000:0.000000
, con lo :@0.848967:0.255198:0.907051:0.255198:0.907051:0.239528:0.848967:0.239528:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cual se obtiene un rectángulo. ¿Cuál es el área del rectángulo en función del lado  ?:@0.304744:0.271795:0.903089:0.271795:0.903089:0.256125:0.304744:0.256125:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.888623:0.271795:0.896087:0.271795:0.896087:0.255433:0.888623:0.255433:0.000000
El área del rectángulo es:         = (  + 7)   ;   =  ² + 7:@0.304744:0.295514:0.684517:0.295514:0.684517:0.279844:0.304744:0.279844:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.514467:0.295514:0.524362:0.295514:0.524362:0.279152:0.514467:0.279152:0.000000
x:@0.548300:0.295514:0.555763:0.295514:0.555763:0.279152:0.548300:0.279152:0.000000
x A:@0.592729:0.295514:0.621366:0.295514:0.621366:0.279152:0.592729:0.279152:0.000000:0.000000:0.000000
x :@0.640420:0.295514:0.651200:0.295514:0.651200:0.279152:0.640420:0.279152:0.000000:0.000000
x:@0.684517:0.295514:0.691980:0.295514:0.691980:0.279152:0.684517:0.279152:0.000000
Con base en esta función, calculamos lo siguiente::@0.304744:0.319232:0.672720:0.319232:0.672720:0.303563:0.304744:0.303563:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El área del rectángulo cuando   = 0, 1, 2, 3, 4 y 5 :@0.304744:0.342951:0.656968:0.342951:0.656968:0.327282:0.304744:0.327282:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.527311:0.342951:0.534774:0.342951:0.534774:0.326590:0.527311:0.326590:0.000000
cm:@0.656968:0.342951:0.679265:0.342951:0.679265:0.326590:0.656968:0.326590:0.000000:0.000000
.:@0.679265:0.342951:0.682472:0.342951:0.682472:0.327282:0.679265:0.327282:0.000000
Elaboramos una tabla. :@0.304744:0.366670:0.470998:0.366670:0.470998:0.351001:0.304744:0.351001:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x cm:@0.320638:0.394989:0.358884:0.394989:0.358884:0.379436:0.320638:0.379436:0.000000:0.000000:0.000000:0.000000
 (:@0.328981:0.394989:0.337625:0.394989:0.337625:0.379411:0.328981:0.379411:0.000000:0.000000
):@0.358884:0.394989:0.364144:0.394989:0.364144:0.379411:0.358884:0.379411:0.000000
0:@0.394449:0.394989:0.402625:0.394989:0.402625:0.380743:0.394449:0.380743:0.000000
1:@0.432444:0.394989:0.440619:0.394989:0.440619:0.380743:0.432444:0.380743:0.000000
2:@0.470438:0.394989:0.478613:0.394989:0.478613:0.380743:0.470438:0.380743:0.000000
3:@0.508433:0.394989:0.516608:0.394989:0.516608:0.380743:0.508433:0.380743:0.000000
4:@0.546427:0.394989:0.554602:0.394989:0.554602:0.380743:0.546427:0.380743:0.000000
5:@0.584422:0.394989:0.592597:0.394989:0.592597:0.380743:0.584422:0.380743:0.000000
A cm:@0.316718:0.422234:0.356974:0.422234:0.356974:0.406682:0.316718:0.406682:0.000000:0.000000:0.000000:0.000000
 (:@0.327071:0.422234:0.335716:0.422234:0.335716:0.406656:0.327071:0.406656:0.000000:0.000000
2):@0.356974:0.422234:0.368131:0.422234:0.368131:0.406656:0.356974:0.406656:0.000000:0.000000
0:@0.394483:0.422234:0.402658:0.422234:0.402658:0.407989:0.394483:0.407989:0.000000
8:@0.432477:0.422234:0.440653:0.422234:0.440653:0.407989:0.432477:0.407989:0.000000
18:@0.466384:0.422234:0.482735:0.422234:0.482735:0.407989:0.466384:0.407989:0.000000:0.000000
30:@0.504462:0.422234:0.520645:0.422234:0.520645:0.407989:0.504462:0.407989:0.000000:0.000000
44:@0.542373:0.422234:0.558723:0.422234:0.558723:0.407989:0.542373:0.407989:0.000000:0.000000
60:@0.580368:0.422234:0.596718:0.422234:0.596718:0.407989:0.580368:0.407989:0.000000:0.000000
Graficamos los puntos antes encontrados y respondemos.:@0.304744:0.455564:0.729493:0.455564:0.729493:0.439894:0.304744:0.439894:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Para qué valor de   el área es 30 :@0.304744:0.479283:0.547471:0.479283:0.547471:0.463613:0.304744:0.463613:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.442288:0.479283:0.449751:0.479283:0.449751:0.462922:0.442288:0.462922:0.000000
cm:@0.547471:0.479283:0.569768:0.479283:0.569768:0.462922:0.547471:0.462922:0.000000:0.000000
2?                Para   = 3 :@0.569768:0.479283:0.721076:0.479283:0.721076:0.463613:0.569768:0.463613:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.681530:0.479283:0.688993:0.479283:0.688993:0.462922:0.681530:0.462922:0.000000
cm:@0.721076:0.479283:0.743373:0.479283:0.743373:0.462922:0.721076:0.462922:0.000000:0.000000
¿Para qué valor de   el área es de 120 :@0.304744:0.503002:0.579461:0.503002:0.579461:0.487332:0.304744:0.487332:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.442288:0.503002:0.449751:0.503002:0.449751:0.486641:0.442288:0.486641:0.000000
cm:@0.579461:0.503002:0.601758:0.503002:0.601758:0.486641:0.579461:0.486641:0.000000:0.000000
2?        Para   = 8 :@0.601758:0.503002:0.720783:0.503002:0.720783:0.487332:0.601758:0.487332:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.681237:0.503002:0.688700:0.503002:0.688700:0.486641:0.681237:0.486641:0.000000
cm:@0.720783:0.503002:0.743080:0.503002:0.743080:0.486641:0.720783:0.486641:0.000000:0.000000
La ecuación que representa el área del rectángulo en función de  es una función :@0.304744:0.526721:0.907125:0.526721:0.907125:0.511051:0.304744:0.511051:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 x:@0.779099:0.526721:0.790100:0.526721:0.790100:0.510360:0.779099:0.510360:0.000000:0.000000
cuadrática. A( ) =   + 7 en donde:   = 1,   = 7 y   = 0:@0.304744:0.543317:0.702769:0.543334:0.702769:0.527664:0.304744:0.527648:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.403977:0.543317:0.411440:0.543317:0.411440:0.526956:0.403977:0.526956:0.000000
x:@0.435377:0.543317:0.442840:0.543317:0.442840:0.526956:0.435377:0.526956:0.000000
2:@0.442839:0.537286:0.448081:0.537286:0.448081:0.528151:0.442839:0.528151:0.000000
x; :@0.476127:0.543334:0.490243:0.543334:0.490243:0.526973:0.476127:0.526973:0.000000:0.000000:0.000000
a:@0.569003:0.543334:0.578272:0.543334:0.578272:0.526973:0.569003:0.526973:0.000000
b:@0.613561:0.543334:0.622830:0.543334:0.622830:0.526973:0.613561:0.526973:0.000000
c:@0.667056:0.543334:0.674722:0.543334:0.674722:0.526973:0.667056:0.526973:0.000000
Representación gráfica de la función cuadrática y características:@0.304744:0.584371:0.902655:0.584371:0.902655:0.564397:0.304744:0.564397:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Infiere:@0.311168:0.159857:0.362397:0.159857:0.362397:0.142956:0.311168:0.142956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. ¿Cómo determinas el área del piso de una piscina cuadrangular?:@0.362397:0.159857:0.841309:0.159857:0.841309:0.144187:0.362397:0.144187:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Saberes previos:@0.344861:0.133229:0.470369:0.133229:0.470369:0.116328:0.344861:0.116328:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shutterstock, 421652020.:@0.091091:0.224578:0.091091:0.149299:0.079703:0.149299:0.079703:0.224578:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.111671:0.373706:0.119134:0.373706:0.119134:0.357345:0.111671:0.357345:0.000000
x:@0.268158:0.323585:0.275622:0.323585:0.275622:0.307224:0.268158:0.307224:0.000000
7 :@0.190689:0.372517:0.203717:0.372517:0.203717:0.356847:0.190689:0.356847:0.000000:0.000000
cm:@0.203717:0.372517:0.226014:0.372517:0.226014:0.356156:0.203717:0.356156:0.000000:0.000000
Gráfica:@0.212299:0.611571:0.265119:0.611571:0.265119:0.595993:0.212299:0.595993:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Características:@0.587854:0.611571:0.696961:0.611571:0.696961:0.595993:0.587854:0.595993:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Concavidad: esta orientación depende del signo del término cuadrático :@0.389355:0.637044:0.859426:0.637044:0.859426:0.622799:0.389355:0.622799:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ax :@0.859258:0.637044:0.877150:0.637044:0.877150:0.622170:0.859258:0.622170:0.000000:0.000000:0.000000
2. :@0.876984:0.637044:0.888191:0.637044:0.888191:0.622799:0.876984:0.622799:0.000000:0.000000:0.000000
• :@0.389355:0.655690:0.398401:0.655690:0.398401:0.640112:0.389355:0.640112:0.000000:0.000000
Si   > 0 (positivo), la parábola es cóncava hacia arriba y tiene un mínimo :@0.417851:0.655690:0.899045:0.655690:0.899045:0.641445:0.417851:0.641445:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.432727:0.655690:0.441153:0.655690:0.441153:0.640816:0.432727:0.640816:0.000000
que es el vértice.:@0.417851:0.670778:0.528985:0.670778:0.528985:0.656532:0.417851:0.656532:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.389355:0.689423:0.398401:0.689423:0.398401:0.673845:0.389355:0.673845:0.000000:0.000000
Si   < 0 (negativo), la parábola es cóncava hacia abajo y tiene un máximo :@0.417851:0.689423:0.899114:0.689423:0.899114:0.675178:0.417851:0.675178:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.432224:0.689423:0.440651:0.689423:0.440651:0.674550:0.432224:0.674550:0.000000
que es el vértice.:@0.417851:0.704511:0.528985:0.704511:0.528985:0.690266:0.417851:0.690266:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cortes de la parábola con los ejes coordenados:@0.389355:0.719599:0.726961:0.719599:0.726961:0.704234:0.389355:0.704234:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
: son los puntos donde la :@0.726961:0.719599:0.897499:0.719599:0.897499:0.705353:0.726961:0.705353:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
función es cero. Para hallar el corte con el eje  , se tiene  :@0.389355:0.734686:0.763885:0.734686:0.763885:0.720441:0.389355:0.720441:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.691230:0.734686:0.698015:0.734686:0.698015:0.719812:0.691230:0.719812:0.000000
f x:@0.389355:0.749774:0.404851:0.749774:0.404851:0.734900:0.389355:0.734900:0.000000:0.000000:0.000000
( ) = 0 y se resuelve la ecuación :@0.393627:0.749774:0.605945:0.749774:0.605945:0.735529:0.393627:0.735529:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ax :@0.605945:0.749774:0.624172:0.749774:0.624172:0.734900:0.605945:0.734900:0.000000:0.000000:0.000000
2 +   +  = 0.:@0.624172:0.749774:0.713397:0.749774:0.713397:0.735529:0.624172:0.735529:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bx:@0.646285:0.749774:0.661345:0.749774:0.661345:0.734900:0.646285:0.734900:0.000000:0.000000
c :@0.678669:0.749774:0.688653:0.749774:0.688653:0.734900:0.678669:0.734900:0.000000:0.000000
El corte con el eje y es (0,  ), cuando  = 0.:@0.389355:0.764861:0.666354:0.764861:0.666354:0.750616:0.389355:0.750616:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.559172:0.764861:0.566141:0.764861:0.566141:0.749988:0.559172:0.749988:0.000000
 x:@0.628142:0.764861:0.637942:0.764861:0.637942:0.749988:0.628142:0.749988:0.000000:0.000000
Eje de simetría:@0.389355:0.779949:0.495180:0.779949:0.495180:0.764585:0.389355:0.764585:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
: es la recta que divide simétricamente a la parábola; está :@0.495180:0.779949:0.876309:0.779949:0.876309:0.765704:0.495180:0.765704:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dado por la ecuación :@0.389355:0.805963:0.533995:0.805963:0.533995:0.791717:0.389355:0.791717:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=−:@0.549960:0.806093:0.573842:0.806093:0.573842:0.790520:0.549960:0.790520:0.000000:0.000000
x:@0.538074:0.805416:0.545538:0.805416:0.545538:0.789054:0.538074:0.789054:0.000000
b:@0.581580:0.796457:0.590850:0.796457:0.590850:0.780096:0.581580:0.780096:0.000000
a:@0.586187:0.815903:0.595456:0.815903:0.595456:0.799542:0.586187:0.799542:0.000000
2:@0.577029:0.815903:0.586021:0.815903:0.586021:0.800233:0.577029:0.800233:0.000000
.:@0.601003:0.805966:0.603918:0.805966:0.603918:0.791721:0.601003:0.791721:0.000000
Vértice ( ): es el punto de corte del eje de simetría con la parábola; tiene :@0.389353:0.834884:0.872554:0.834884:0.872554:0.820639:0.389353:0.820639:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V:@0.443330:0.834884:0.451622:0.834884:0.451622:0.820010:0.443330:0.820010:0.000000
como coordenadas: :@0.389353:0.860898:0.525467:0.860898:0.525467:0.846653:0.389353:0.846653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V:@0.529124:0.861128:0.538245:0.861128:0.538245:0.845735:0.529124:0.845735:0.000000
b:@0.569068:0.852249:0.578337:0.852249:0.578337:0.836856:0.569068:0.836856:0.000000
2:@0.564516:0.871584:0.573509:0.871584:0.573509:0.855914:0.564516:0.855914:0.000000
a:@0.573675:0.871584:0.582944:0.871584:0.582944:0.856191:0.573675:0.856191:0.000000
,:@0.585978:0.861128:0.589184:0.861128:0.589184:0.845458:0.585978:0.845458:0.000000
f:@0.590327:0.861128:0.595026:0.861128:0.595026:0.845735:0.590327:0.845735:0.000000
b:@0.626445:0.852249:0.635714:0.852249:0.635714:0.836856:0.626445:0.836856:0.000000
2:@0.621893:0.871584:0.630886:0.871584:0.630886:0.855914:0.621893:0.855914:0.000000
a:@0.631052:0.871584:0.640321:0.871584:0.640321:0.856191:0.631052:0.856191:0.000000
. :@0.662836:0.860898:0.669420:0.860898:0.669420:0.846653:0.662836:0.846653:0.000000:0.000000
La función  ( ) = :@0.389353:0.891073:0.500187:0.891073:0.500187:0.876828:0.389353:0.876828:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.462930:0.891073:0.478426:0.891073:0.478426:0.876199:0.462930:0.876199:0.000000:0.000000:0.000000
ax :@0.500187:0.891073:0.518414:0.891073:0.518414:0.876199:0.500187:0.876199:0.000000:0.000000:0.000000
2 tiene:       Dominio: :@0.518414:0.891073:0.654425:0.891073:0.654425:0.876828:0.518414:0.876828:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ:@0.654425:0.891601:0.666520:0.891601:0.666520:0.875596:0.654425:0.875596:0.000000
Recorrido: :@0.389353:0.908788:0.460633:0.908788:0.460633:0.894543:0.389353:0.894543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.463618:0.909861:0.333538:0.909861:0.333538:0.893112:0.463618:0.893112:0.000000
:@0.607004:0.909861:0.476923:0.909861:0.476923:0.893112:0.607004:0.893112:0.000000
{}:@0.504087:0.911539:0.530052:0.911539:0.530052:0.891138:0.504087:0.891138:0.000000:0.000000
{}:@0.647473:0.911539:0.673437:0.911539:0.673437:0.891138:0.647473:0.891138:0.000000:0.000000
∪:@0.488172:0.909667:0.502325:0.909667:0.502325:0.894094:0.488172:0.894094:0.000000
>:@0.566177:0.909667:0.576293:0.909667:0.576293:0.894094:0.566177:0.894094:0.000000
∪:@0.631558:0.909667:0.645710:0.909667:0.645710:0.894094:0.631558:0.894094:0.000000
+:@0.477912:0.901721:0.483775:0.901721:0.483775:0.892696:0.477912:0.892696:0.000000
−:@0.621307:0.901721:0.627170:0.901721:0.627170:0.892696:0.621307:0.892696:0.000000
si a:@0.537957:0.908990:0.562834:0.908990:0.562834:0.892628:0.537957:0.892628:0.000000:0.000000:0.000000:0.000000
ó:@0.592927:0.908990:0.602141:0.908990:0.602141:0.892628:0.592927:0.892628:0.000000
0,:@0.512472:0.908990:0.534308:0.908990:0.534308:0.893320:0.512472:0.893320:0.000000:0.000000
0:@0.579217:0.908990:0.588209:0.908990:0.588209:0.893320:0.579217:0.893320:0.000000
0 ,sia <0:@0.655857:0.908990:0.733168:0.908990:0.733168:0.893320:0.655857:0.893320:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A cm:@0.121692:0.446674:0.144566:0.446674:0.144566:0.437571:0.121692:0.437571:0.000000:0.000000:0.000000:0.000000
 (:@0.127198:0.446674:0.132160:0.446674:0.132160:0.437955:0.127198:0.437955:0.000000:0.000000
2:@0.144566:0.443309:0.147483:0.443309:0.147483:0.438226:0.144566:0.438226:0.000000
):@0.147482:0.446674:0.150199:0.446674:0.150199:0.437955:0.147482:0.437955:0.000000
x cm:@0.249643:0.545740:0.271164:0.545740:0.271164:0.536637:0.249643:0.536637:0.000000:0.000000:0.000000:0.000000
 (:@0.253795:0.545740:0.258758:0.545740:0.258758:0.537022:0.253795:0.537022:0.000000:0.000000
):@0.271164:0.545740:0.273881:0.545740:0.273881:0.537022:0.271164:0.537022:0.000000
0:@0.138501:0.545357:0.142879:0.545357:0.142879:0.537728:0.138501:0.537728:0.000000
60:@0.132308:0.498479:0.141064:0.498479:0.141064:0.490851:0.132308:0.490851:0.000000:0.000000
80:@0.132308:0.484845:0.141064:0.484845:0.141064:0.477216:0.132308:0.477216:0.000000:0.000000
100:@0.127930:0.471210:0.141064:0.471210:0.141064:0.463581:0.127930:0.463581:0.000000:0.000000:0.000000
120:@0.127930:0.457575:0.141064:0.457575:0.141064:0.449946:0.127930:0.449946:0.000000:0.000000:0.000000
40:@0.132308:0.512112:0.141064:0.512112:0.141064:0.504484:0.132308:0.504484:0.000000:0.000000
20:@0.132308:0.525745:0.141064:0.525745:0.141064:0.518117:0.132308:0.518117:0.000000:0.000000
2:@0.161541:0.545357:0.165919:0.545357:0.165919:0.537728:0.161541:0.537728:0.000000
–2:@0.122246:0.545357:0.131110:0.545357:0.131110:0.537728:0.122246:0.537728:0.000000:0.000000
4:@0.179708:0.545357:0.184086:0.545357:0.184086:0.537728:0.179708:0.537728:0.000000
6:@0.197875:0.545357:0.202253:0.545357:0.202253:0.537728:0.197875:0.537728:0.000000
8:@0.216042:0.545357:0.220420:0.545357:0.220420:0.537728:0.216042:0.537728:0.000000
10:@0.232020:0.545357:0.240776:0.545357:0.240776:0.537728:0.232020:0.537728:0.000000:0.000000
f(x):@0.203971:0.642862:0.220425:0.642862:0.220425:0.630586:0.203971:0.630586:0.000000:0.000000:0.000000:0.000000
0:@0.220513:0.773643:0.226510:0.773643:0.226510:0.763192:0.220513:0.763192:0.000000
x:@0.336992:0.769319:0.342592:0.769319:0.342592:0.757043:0.336992:0.757043:0.000000
x:@0.141930:0.688108:0.146908:0.688108:0.146908:0.677196:0.141930:0.677196:0.000000
 < 0 :@0.146908:0.688108:0.168305:0.688108:0.168305:0.677658:0.146908:0.677658:0.000000:0.000000:0.000000:0.000000:0.000000
Curva :@0.139485:0.697332:0.170751:0.697332:0.170751:0.686882:0.139485:0.686882:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
decreciente:@0.124841:0.706557:0.182703:0.706557:0.182703:0.696106:0.124841:0.696106:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.141924:0.796058:0.146902:0.796058:0.146902:0.785145:0.141924:0.785145:0.000000
 < 0 :@0.146902:0.796058:0.168305:0.796056:0.168305:0.785605:0.146902:0.785607:0.000000:0.000000:0.000000:0.000000:0.000000
Curva :@0.139485:0.805280:0.170751:0.805280:0.170751:0.794829:0.139485:0.794829:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
creciente:@0.131164:0.814504:0.176380:0.814504:0.176380:0.804053:0.131164:0.804053:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.299307:0.688107:0.305489:0.688107:0.305489:0.677195:0.299307:0.677195:0.000000
 > 0 :@0.305489:0.688107:0.326893:0.688108:0.326893:0.677657:0.305489:0.677656:0.000000:0.000000:0.000000:0.000000:0.000000
Cóncava :@0.290667:0.697332:0.335539:0.697332:0.335539:0.686882:0.290667:0.686882:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hacia arriba:@0.283551:0.706557:0.339974:0.706557:0.339974:0.696106:0.283551:0.696106:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.299320:0.796058:0.305502:0.796058:0.305502:0.785145:0.299320:0.785145:0.000000
 < 0 :@0.305502:0.796058:0.326893:0.796056:0.326893:0.785605:0.305502:0.785607:0.000000:0.000000:0.000000:0.000000:0.000000
Cóncava :@0.290667:0.805280:0.335539:0.805280:0.335539:0.794829:0.290667:0.794829:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hacia abajo:@0.283957:0.814504:0.339558:0.814504:0.339558:0.804053:0.283957:0.804053:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f(x):@0.301839:0.649679:0.316465:0.649679:0.316465:0.638767:0.301839:0.638767:0.000000:0.000000:0.000000:0.000000
 = :@0.316465:0.649679:0.329173:0.649679:0.329173:0.639229:0.316465:0.639229:0.000000:0.000000:0.000000
ax:@0.329173:0.649679:0.340332:0.649679:0.340332:0.638767:0.329173:0.638767:0.000000:0.000000
2:@0.340334:0.645646:0.343831:0.645646:0.343831:0.639553:0.340334:0.639553:0.000000
f(x):@0.300871:0.890567:0.315496:0.890567:0.315496:0.879654:0.300871:0.879654:0.000000:0.000000:0.000000:0.000000
 = –:@0.315496:0.890567:0.334128:0.890567:0.334128:0.880116:0.315496:0.880116:0.000000:0.000000:0.000000:0.000000
ax:@0.334128:0.890567:0.345287:0.890567:0.345287:0.879654:0.334128:0.879654:0.000000:0.000000
2:@0.345276:0.886533:0.348773:0.886533:0.348773:0.880440:0.345276:0.880440:0.000000
x:@0.299916:0.736408:0.304893:0.736408:0.304893:0.725495:0.299916:0.725495:0.000000
 > 0 :@0.304893:0.736408:0.326290:0.736408:0.326290:0.725957:0.304893:0.725957:0.000000:0.000000:0.000000:0.000000:0.000000
Curva :@0.297470:0.745632:0.328736:0.745632:0.328736:0.735181:0.297470:0.735181:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
creciente:@0.289149:0.754856:0.334364:0.754856:0.334364:0.744405:0.289149:0.744405:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.305987:0.840898:0.310965:0.840898:0.310965:0.829986:0.305987:0.829986:0.000000
 > 0 :@0.310965:0.840898:0.332365:0.840896:0.332365:0.830445:0.310965:0.830447:0.000000:0.000000:0.000000:0.000000:0.000000
Curva :@0.303545:0.850120:0.334811:0.850120:0.334811:0.839669:0.303545:0.839669:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
decreciente:@0.288901:0.859344:0.346763:0.859344:0.346763:0.848894:0.288901:0.848894:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Eje de simetría:@0.246386:0.705909:0.246386:0.645806:0.230720:0.645806:0.230720:0.705909:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vértice:@0.134035:0.746957:0.171367:0.746957:0.171367:0.735199:0.134035:0.735199:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–1:@0.202665:0.774652:0.213290:0.774652:0.213290:0.765507:0.202665:0.765507:0.000000:0.000000
1:@0.248896:0.774652:0.254144:0.774652:0.254144:0.765507:0.248896:0.765507:0.000000
2:@0.270673:0.774652:0.275921:0.774652:0.275921:0.765507:0.270673:0.765507:0.000000
3:@0.292450:0.774652:0.297698:0.774652:0.297698:0.765507:0.292450:0.765507:0.000000
4:@0.314227:0.774652:0.319475:0.774652:0.319475:0.765507:0.314227:0.765507:0.000000
–2:@0.180898:0.774652:0.191523:0.774652:0.191523:0.765507:0.180898:0.765507:0.000000:0.000000
–3:@0.159121:0.774652:0.169747:0.774652:0.169747:0.765507:0.159121:0.765507:0.000000:0.000000
–4:@0.137345:0.774652:0.147970:0.774652:0.147970:0.765507:0.137345:0.765507:0.000000:0.000000
1:@0.219376:0.751706:0.224624:0.751706:0.224624:0.742561:0.219376:0.742561:0.000000
–1:@0.213999:0.784386:0.224624:0.784386:0.224624:0.775241:0.213999:0.775241:0.000000:0.000000
–2:@0.213999:0.800730:0.224624:0.800730:0.224624:0.791585:0.213999:0.791585:0.000000:0.000000
–3:@0.213999:0.817074:0.224624:0.817074:0.224624:0.807929:0.213999:0.807929:0.000000:0.000000
–4:@0.213999:0.833418:0.224624:0.833418:0.224624:0.824273:0.213999:0.824273:0.000000:0.000000
–5:@0.213999:0.849762:0.224624:0.849762:0.224624:0.840617:0.213999:0.840617:0.000000:0.000000
–6:@0.213999:0.866106:0.224624:0.866106:0.224624:0.856961:0.213999:0.856961:0.000000:0.000000
–7:@0.213999:0.882450:0.224624:0.882450:0.224624:0.873305:0.213999:0.873305:0.000000:0.000000
2:@0.219376:0.735370:0.224624:0.735370:0.224624:0.726225:0.219376:0.726225:0.000000
3:@0.219376:0.719026:0.224624:0.719026:0.224624:0.709881:0.219376:0.709881:0.000000
4:@0.219376:0.702682:0.224624:0.702682:0.224624:0.693537:0.219376:0.693537:0.000000
5:@0.219376:0.686338:0.224624:0.686338:0.224624:0.677193:0.219376:0.677193:0.000000
6:@0.219376:0.669994:0.224624:0.669994:0.224624:0.660849:0.219376:0.660849:0.000000
7:@0.219376:0.653650:0.224624:0.653650:0.224624:0.644505:0.219376:0.644505:0.000000
M.4.1.57. :@0.096359:0.942462:0.144696:0.942462:0.144696:0.931707:0.096359:0.931707:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definir y reconocer una función cuadrática de manera algebraica y gráfica, determinando sus características: dominio, recorrido, monotonía, máximos, mínimos y :@0.145107:0.942462:0.905710:0.942462:0.905710:0.932491:0.145107:0.932491:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
paridad.:@0.096359:0.952522:0.134142:0.952522:0.134142:0.942550:0.096359:0.942550:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Archivo editorial.:@0.839948:0.923372:0.903081:0.923372:0.903081:0.914764:0.839948:0.914764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Multiplicando la base por la altura.:@0.311168:0.166205:0.470968:0.166205:0.470968:0.156233:0.311168:0.156233:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000