Question

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

Answer 1

(-2, 7)

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).