Write the equation for a parabola with vertex ( -2, 3) and focus ( -2, 1

Answer 1

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

Looking at our conditions, 3+p = 1, so p = -2

-8(y-3) = (x+2)^2

y = -1/8 (x+2)^2 + 3