Answer
Center: $(-2, -2)$
Radius = $2$ units
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 $(x+2)^2+(y+2)^2=2^2$.
This is the same form as the standard equation above, so its center must be at the point $(-2, -2)$ and its radius must be $2$.
Thus, the circle has:
center: $(2, 2)$
radius = $2$ units
To graph the equation, do the following steps:
(1) Plot the center $(-2, 2)$, and then locate the points 2 units to the left, to the right, above, and below the circle's center.
These points are:
$(-4, 2)
\\(0, -2)
\\(-2, 0)
\\(-2, -4)$
(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.)