C is (x + 2) 2 + (y-7) 2 = 36. What is its center (h, k) ?

(-2, 7)

Step-by-step explanation:

Compare the given equation to the form ...

(x - h) ^2 + (y - k) ^2 = r^2

(x + 2) ^2 + (y - 7) ^2 = 36

You can identify the following equivalences:

-h = + 2 ⇒ h = - 2

-k = - 7 ⇒ k = 7

The center (h, k) is (-2, 7).