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

@phi

Answer 2

y2 = 2x

y = 1/2 x^2

y2 = 8x

y = 1/8 x^2

Answer 3

I would plot the focus point (0,2) and the line y=-2
the parabola will open up (a smiley)
that means it will be x^2 = 4 p y
where p is 1/2 the distance between the focus and the directrix
here p is 2
so the equation will be x^2 = 8 y