If my focus is given as (0, -3/2), how do I use that to find the standard equation of the parabola?

Question

I know the answer is x^2=-6y (or that is the given answer), but I need to know how they got it. Thanks.

Answer 1

you must know the vertex as well.

if the coordinate of the vertex is (h,k) and p is the distance between the vertex and focus.

the formula for parabola is 4p(y-k)=(x-h)^2

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