General equation of a circle:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
(h,k) are the coordinates of the center and r is th radius
For the given equation:
[tex]\begin{gathered} (x+2)^2+(y-3)^2=25 \\ \\ h=-2 \\ k=3 \\ r=5 \end{gathered}[/tex]
Then, the center of the given circle is in coordinates (-2,3) and the radius is 5 units
The graph is:
