Final answer:
The equation of the circle is (x + 3)^2 + (y - 4)^2 = 9.
Step-by-step explanation:
The equation of a circle with center (h, k) and radius r is given by the equation (x - h)^2 + (y - k)^2 = r^2.
In this case, the center is (-3, 4) and the radius is 3 units. So, the equation of the circle is (x - (-3))^2 + (y - 4)^2 = 3^2.
Simplifying this equation, we have (x + 3)^2 + (y - 4)^2 = 9.