In order to find the vertex of the given parabola, let's compare its equation with the vertex form of the quadratic equation:
[tex]y=a(x-h)^2+k[/tex]Looking at the given equation, we have h = -1, k = 2 and a = 1.
Since the vertex coordinates are given by (h, k), so the vertex coordinates are (-1, 2), therefore the correct option is the fourth one.