Use the given information to write the equation of each parabola: The parabola has focus (0, –2) and directrix y=2

Answer 1

Well, we have a vertical parabola pointing down because our directrix is above the focus. The vertex is halfway between the focus and directrix, so p = (2 - (-2))/2 = 2, and the vertex is at the origin.

(x - 0)² = 4(2)(y - 0)

Since we don't write silly stuff like plus or minus 0...

x² = 8y