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zaharov [31]
3 years ago
5

Help me please…………………………

Mathematics
1 answer:
omeli [17]3 years ago
5 0

Answer:

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

Step-by-step 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

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