The answer is Circle C.
The equation of the circle is in the standard form of the equation of a circle, which is (x - h)^2 + (y - k)^2 = r^2,
where (h, k) is the center of the circle and r is the radius. Matching the
given equation with the standard form, we get that (h, k) = (3, -4) and r = 3.
Therefore, the center of the circle is (3, -4) and the radius is 3.
Circle C has its center at (3, -4) and a radius of 3, so it is the graph of the equation (x - 3)^2 + (y + 4)^2 = 9.
Therefore, the answer is Circle C.