The problem asks for the equation of a circle given its graph. From the graph, we can identify the center and the radius of the circle.

1. Problem Description

The problem asks for the equation of a circle given its graph. From the graph, we can identify the center and the radius of the circle.

2. Solution Steps

The general equation of a circle with center $(h, k)$ and radius $r$ is given by:

$(x - h)^2 + (y - k)^2 = r^2$

From the graph, the center of the circle appears to be at $(-3, 0)$.

The radius of the circle is the distance from the center to any point on the circle. From the graph, we can see that the radius is

3. Therefore, $h = -3$, $k = 0$, and $r = 3$.

Plugging these values into the general equation, we have:

$(x - (-3))^2 + (y - 0)^2 = 3^2$

$(x + 3)^2 + y^2 = 9$

3. Final Answer

The equation of the circle is $(x + 3)^2 + y^2 = 9$.