You can immediately see that the vertex is located at (-3,-2) and that the y-intercept is 7 or very close to 7.
The general equation for a parabola with vertex at (h,k) is
y-k = (x-h)^2, and from that and the given info, we get:
y-(-2) = (x-(-3))^2, or y+2 = (x+3)^2, or y = (x+3)^2 - 2.