Answer
$\color{blue}{(x+\sqrt3)^2+(y+\sqrt3)^2=3}$
Refer to the graph below.
Work Step by Step
RECALL:
The center-radius form of a circle's equation is $(x-h)^2+(y-k)^2=r^2$ with center at $(h, k)$ and a radius of $r$ units.
Thus, the given circle's equation in center-radius form is:
$(x-(-\sqrt3))^2+(y-(-\sqrt3))^2=(\sqrt3)^2
\\\color{blue}{(x+\sqrt3)^2+(y+\sqrt3)^2=3}$
To graph the circle, perform the following steps:
(1) Plot the center (note that $\sqrt3 \approx 1.732$).
(2) Plot the points $\sqrt2$ units above, below, to the left, and to the right of the center.
(3) Connect the four points in Step 2 using a curve to form a circle.
(Refer to the attached image in the answer part above for the graph.)