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Cuestionario sobre la Parábola

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Cuestionario sobre la Parábola

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Conceptos y fórmulas clave

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Prof. Joel Pari - Matemática
Prof. Joel Pari - Matemática
Bolivia

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Cuestionario sobre la Parábola
 

Cuestionario sobre la ParábolaOnline version

Conceptos y fórmulas clave

by Prof. Joel Pari - Matemática
1

¿Qué describe la parábola en geometría?

2

En y = a(x−h)^2 + k, ¿qué representa (h,k)?

3

¿Cuál es el eje de simetría de y = a(x−h)^2 + k?

4

Si el foco está en (h, k+a), ¿qué es a?

5

En y^2 = 4ax, ¿la parábola abre vertical u horizontal?

6

¿Cómo se obtiene la ecuación con vértice (h,k) y foco (h,k+a)?

7

Qué indica el valor de a en y = (1/(4a))(x−h)^2 + k?

8

Parábola con vértice (0,0) y foco (0,3). ¿ecuación?

9

¿Qué describe la tangente en el vértice de una parábola?

Explicación

La definición clásica: conjunto de puntos equidistantes del foco y la directriz.

El vértice de la parábola es (h,k) en esa forma.

El eje de simetría es la vertical x = h.

a es la distancia focal desde el vértice hacia el foco.

Parábola horizontal; el signo de a determina la dirección.

Con vértice (h,k) y foco (h,k+a), la forma estándar es y = (1/(4a))(x−h)^2 + k.

a es la distancia focal desde el vértice al foco.

a = 3, por tanto coeficiente es 1/(4a) = 1/12.

La tangente en el vértice es horizontal (pendiente 0).

 
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