Question

Select the correct answer.
What is the equation of the parabola opening upward with a focus at and a directrix of ?

A. f(x) = 1/32(x - 9)^2 + 19 =
B. f(x) = 1/32(x + 9)^2 + 19 =
C. f(x) = 1/16(x - 9)^2 + 19 =
D. f(x) = 1/16(x + 9)^2 - 19 =

Answer 1

Answer:

b

Step-by-step explanation:

on plato

Answer 2

The equation of the parabola opening upward with a focus at and a directrix will be f(x) = 1/32(x + 9)^2 + 19. so option B is correct.

What is the equation of the parabola?

The equation can be written as

f(x) = 1/(4p)(x -h)^2 +(k-p)

where (h, k) is the focus, and p is half the distance between focus and directrix.

Here, We have the upward parabola;

(h, k) = (-9, 7) and p = (7 - (-9))/ 2 = 8.

So the equation is

f(x) = 1/32(x + 9)^2 + 19

The equation of the parabola opening upward with a focus at and a directrix will be f(x) = 1/32(x + 9)^2 + 19. so option B is correct.

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