$C(-2,-2), r=2$ . See graph. Domain $[-4,0]$ and Range $[-4,0]$ .
Work Step by Step
Step 1. Given the equation $(x+2)^2+(y+2)^2=4$, comparing with the standard form for a circle, we can identify the center and radius of the circle as $C(-2,-2), r=2$ . Step 2. See graph for the equation as shown in the figure. Step 3. Based on the graph, we can identify: Domain $[-4,0]$ and Range $[-4,0]$ .