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Función Cuadráticas

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Función Cuadráticas

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elementos de la función cuadráticas

Created by

Cheko Jesús
Cheko Jesús
Guatemala

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Función Cuadráticas
 

Función CuadráticasOnline version

elementos de la función cuadráticas

by Cheko Jesús
1

¿Qué representa 'a' en la función cuadrática f(x)=ax^2+bx+c respecto a la apertura de la parábola?

2

¿Qué indica el término c en f(x)=ax^2+bx+c?

3

¿Cómo se obtiene la coordenada x del vértice de f(x)=ax^2+bx+c?

4

¿Qué representa la discriminante Δ = b^2 - 4ac?

5

¿Qué es la 'axis of symmetry' de la parábola f(x)=ax^2+bx+c?

6

Si a>0, ¿cómo es la parábola de f(x)=ax^2+bx+c?

7

¿Qué información da el y-intercept de una función cuadrática?

8

Si Δ=0, ¿cuántas raíces tiene la ecuación cuadrática?

9

¿Qué variable determina la anchura de la parábola sin cambiar su posición?

Explicación

El coeficiente 'a' determina la concavidad y apertura de la parábola; positivo abre hacia arriba y negativo hacia abajo.

El valor 'c' es la intersección con el eje y, es decir, f(0)=c.

La fórmula del vértice para una cuadrática es x_v = -b/(2a).

Δ determina el número de raíces reales: Δ>0 dos raíces, Δ=0 una raíz, Δ<0 ninguna real.

La recta de simetría es x = -b/(2a).

Con a>0, la parábola abre hacia arriba.

El y-intercept es (0, c) y f(0)=c.

Δ=0 implica una única raíz real (vértice en la x).

La magnitud de a afecta la apertura y anchura; cuanto mayor |a|, más estrecha la parábola.

 
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