Use the graph to find the standard equation of the circle. Write the equation of the circle in standard form. (Simplify the answer.)

To find the standard equation of the circle, we need to first identify the center and radius of the circle from the given graph. From the graph, we can see that the center of the circle is at the point (-2, 3) and the radius of the circle is 4 units. Using the standard equation of a circle, which is (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center and r is the radius, we can plug in the values we just found: (x - (-2))^2 + (y - 3)^2 = 4^2 Simplifying the equation, we get: (x + 2)^2 + (y - 3)^2 = 16 Therefore, the standard equation of the circle is (x + 2)^2 + (y - 3)^2 = 16.