Determine the equation of the circle shown in the graph.

B.

Step-by-step explanation:

The equation of a circle with center at (h, k) and radius r is

We have center at (-5, 0). That makes h = -5, and k = 0.

The radius is 3, so r = 3.

B.

B

Step-by-step explanation:

The equation of a circle has the form:

Where (h, k) is the center of the circle and r is the radius.

From the graph, we can see that the center of the circle is at (-5, 0). So, (h, k) is (-5, 0), where h = -5 and k = 0.

And by counting, we can determine that the radius of the circle is three units. Hence, r = 3.

Substitute the information into the equation:

Simplify. Therefore, our equation is:

Our answer is B.