(h,k) is the vertex p is the distance from the vertex to the focus and the vertex to directix
half of the distance between directix and focus is p if the directix is above the focus, p is negative if the directix is below the focus, p is positive so
we see y=15/8 is the directix focus is above directix (p is positive) it is 2/8 or 1/4 above it so half of 1/4 is 1/8 p=1/8 the vertex is 1/8 below vertex so it is it at (-4,16/8) or (-4,2) the equation is (x-(-4))^2=4(1/8)(y-2) or (x+4)^2=4(1/8)(y-2) is the equation