answer:
To find the center of the circle, we need to identify the values of h and k in the equation of the circle C': (x - h)^2 + (y - k)^2 = r^2.
In this case, the given equation is (x + 2)^2 + (y - 7)^2 = 36. By comparing this equation to the standard equation of a circle, we can determine the values of h and k.
From the equation, we can see that (h, k) = (-2, 7).
Therefore, the center of the circle C' is (-2, 7).
real