Answer
The given circle has:
center at (-3, 4)
radius = 5 units
Refer to the attached image below for the graph.
Work Step by Step
RECALL:
The standard equation of a circle whose center is at (h, k) and radius $r$ is:
$(x-h^2+(y-k)^2=r^2$
The given equation is similar to the standard form given above.
Thus, the given equation represents a circle with center at (-3, 4) and
$r^2=25
\\r=\sqrt{25}
\\r=5$
Therefore, the given circle has:
center at (-3, 4)
radius = $5$ units
Plot the points $(-8, 4), (2, 4), (-3, 9), \text{ and } (-3, -1)$ then connect them using a curve to form a circle.
Or, use a graphing calculator to have the graph attached in the answer part above.