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

lol no one likes these conic section problems, do they?

Answer 2

but it is real real easy

Answer 3

do you now what the parabola looks like? if so, we can do it in like 15 seconds

Answer 4

Yes.
I think so.

Answer 5

open up, down, left or right?

Answer 6

Opens down?

Answer 7

I'm not so sure now.

Answer 8

yes it iopens down

Answer 9

and the vertex is exactly half way between the focus and the directrix

Answer 10

so it is evidently at \((0,0)\) making your equation look like
\[4py=x^2\]

Answer 11

all you need is \(p\) which is the distance between the focus and the vertex (or the vertex and the directrix) which is clearly 2
final answer
\[-8y=x^2\]

Answer 12

Thanks!