Answer
The equation:
$(x-2)^2+(y+3)^2=25$
Represents a circle of radius 5 and center (2,-3)
Work Step by Step
The equation:
$(x-2)^2+(y+3)^2=25$
Has the form ($x – h)^2 + (y – k)^2 = r^2$ which represents a circle of radius $r$ and center $(h,k)$
We can find the radius by making:
$r^2=25$
$r=\sqrt{25}$
$r=5$
And the vertex will be the $(2,-3)$ the terms next to $x$ and $y$
