Answer
center: $(-3, 4)$
radius: $5$ units
Refer to the image below for the graph.
Work Step by Step
RECALL:
The circle $(x--h)^2+(y-k)^2=r^2$ has its center at $(h, k)$ and a radius of $r$ units.
The given equation can be written as $(x+3)^2+(y-4)^2=5^2$, which is in the same form as the one in the recall part above.
Thus, the circle has:
its center at $(-3, 4)$;
a radius of 5 units
Plot the center.
Then, plot the following points:
5 units above the center: $(-3, 9)$
5 units below the center: $(-3, -1)$
5 units to the left of the center: $(-8, 4)$
5 units to the right of the center: $(2, 4)$
Connect the four points (not including the center) using a curve to form a circle.
