1. The problem asks us to find the equation of a circle given its center and radius. 2. The standard form of a circle's equation is $$ (x - h)^2 + (y - k)^2 = r^2 $$ where $(h, k)$ is the center and $r$ is the radius. 3. From the graph description, the center is at $(-3, -2)$ and the radius is $3$. 4. Substitute $h = -3$, $k = -2$, and $r = 3$ into the formula: $$ (x - (-3))^2 + (y - (-2))^2 = 3^2 $$ 5. Simplify the double negatives: $$ (x + 3)^2 + (y + 2)^2 = 9 $$ 6. This is the equation of the circle. Final answer: $$ (x + 3)^2 + (y + 2)^2 = 9 $$