#### Answer

center: $(-3, 2)$
radius = $2$ units
Refer to the image below for the graph.

#### Work Step by Step

RECALL:
The standard form of the equation of a circle with a center at $(h, k)$ and a radius of $r$ units is:
$(x-h)^2+(y-k)^2=r^2$
The given equation can be written as $(x+3)^2+(y-2)^2=2^2$.
This is the same form as the standard equation above, so its center must be at the point $(-3, 2)$ and its radius must be 2.
Thus, the circle has:
center: $(-3, 2)$
radius = $2$ units
To graph the equation, do the following steps:
(1) Plot the center $(-3, 2)$, and then locate the points 2 units to the left, to the right, above, and below the circle's center.
These points are:
$(-5, 2)$
$(-1, 2)$
$(-3, 4)$
$(-3, 0)$
(ii) Connect the four points (excluding the center) together using a curve to form a circle.
(Please refer to the attached image in the answer part above.)