Help me please…………………………

Question

asked Jul 20, 2021 48.4k views

1 Answer

SabareeshSS · Answer 1 · 2021-07-25T22:19:55+0000

Answer:

Correct option: First one ->
x^2 = -12y

Explanation:

The focus and the vertex have the same x-coordinate, so we have a vertical parabola. The standard equation for this parabola is:

y = a(x-h)^2 + k

If the vertex is at the origin, we have that:

$(h, k) = (0,0)\\h = 0, k = 0$

If the focus is at (0,-3), we have that:

(h, k+p) = (0, -3)

p = 1/4a

k + p = -3

1/4a = -3

a = -1/12

So we equation of the parabola is:

y = -x^2/12

x^2 = -12y

Correct option: First one