Answer
$(x+1)^2=-8(y-2)$
Work Step by Step
Step 1. The directrix is horizontal and 4-units above the focus, indicating that the parabola opens downward.
Step 2. We have $2p=0-4$, $p=-2$, and the vertex is at $(-1, 2)$. Thus the equation is $(x+1)^2=-8(y-2)$