Answer
Parabola opening down shifted 1 unit left and 2 units up
Work Step by Step
$(x+1)^2=4(-1)(y-2)$
The first aspect to notice is only the x term is squared. This means the conic must be a parabola opening up or down. Since the right side is multiplied by -1, the parabola must be opening down. The $(x+1)$ means that the vertex is shifted one unit left (across the x-axis). The $(y-2)$ means that the center is shifted two units up (the y-axis).
