Answer
$(x+3)^{2} = 12 (y-5)$
Work Step by Step
General Equation of a Parabola: $(x-h)^{2} = 4p (y-k)$
Vertex is at (-3, 5), so h = -3 and k = 5
Directrix is at y=2
Thus p (distance from vertex to directrix) is equal to 3
So the equation is $(x+3)^{2} = 12 (y-5)$
