The focus of a parabola is located at (0,–2). the directrix of the parabola is represented by y = 2.which equation represents the parabola?

y2 = –2x
x2 = –2y
y2 = –8x
x2 = –8y

The standard form is (x - h)^2 = 4p (y - k), where the focus is (h, k + p) and the directrix is y = k - p

We know that the focus is (0, -2) which results in h=0 and k+p=-2.
We also know that the directrix of the parabola is represented by y = 2 so k-p=2

k-p=2
k+p=-2

If we add those 2 equations:
2k=0
k=0
p=-2

Know we replace in the standard form:
(x-0)^2 = 4*(-2)*(y-0)
x^2 = -8*y