1. The problem asks to identify the graph of the equation $$(x + 3)^2 + (y + 1)^2 = 9$$. 2. This is the equation of a circle in standard form: $$(x - h)^2 + (y - k)^2 = r^2$$ where $(h, k)$ is the center and $r$ is the radius. 3. Comparing, we see $h = -3$, $k = -1$, and $r^2 = 9$, so $r = 3$. 4. Therefore, the circle is centered at $(-3, -1)$ with radius $3$. 5. Among the options, the top-left circle matches this description exactly. Final answer: The graph is the top-left circle centered at $(-3, -1)$ with radius $3$.