Answer
The coordinates of the center have not been correctly determined. The radius is correct.
The center has coordinates $(-3,2)$, not $(3,-2).$
Work Step by Step
The standard form of an equation of a circle with radius $r$ and center $(h,k)$ is
$(x-h)^{2}+(y-k)^{2}=r^{2}$
The first parentheses contain a plus,
so what they really contain is $x-h=x-(-3).$
The center has coordinates $(-3,2).$
The radius is correct.