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

I got: (x-2)^2 = 8(y-0) which simplifies to x^2-4x+4=8y but that is not any of my options...

Answer 2

My options:
y^2 = 2x
y = 1/2*x2
y^2 = 8x
y = 1/8*x2

Answer 3

I'd say the answer is
y = 1/8*x2