Question

Find the standard form of the equation of the parabola with a focus at (0, -2) and a directrix at y = 2.

Answer 1

Did you try to use the formula$$(x-h)^2 = 4p(y-k)$$

Answer 2

I have the formula written down but I'm struggling to apply it

Answer 3

|p| is the distance between the focus and the vertex , or the distance
between the directrix and the vertex.

Answer 4

How would I find the vertex?

Answer 5

the vertex is halfway between the focus and the directrix
https://www.desmos.com/calculator/rr6bgwsu6k

Answer 6

So vertex = (0,0)

Answer 7

And p = 2

Answer 8

yes, very close. except p is negative because it opens downwards.

Answer 9

Oh okay. So x^2 = 4(-2)(y)

Answer 10

bingo :)
And you can graph that on desmos.com
https://www.desmos.com/calculator/ljgyaybts9

Answer 11

Thank you for all your help, I understand this a lot better now.