The vertex is (-1, 2).
The equation of parabola:
[tex]x=(x-k)^2+h[/tex] where (h, k) is the vertex
We have h = -1 and k = 2.
Substitute:
[tex]x=(y-2)^2-1\ \ \ \ |+1\\\\(x+1)=(y-2)^2[/tex]