Question

What is the center and radius of the following
circle:
(x +4)2 + (-2) = 4?

Answer 1

That is not a circle; it has no y term

My guess:

center = (h, k) = (-4, 2)

r = √4 = 2

Explanation:

If I had to guess what you intended:

(x + 4)² + (y - 2)² = 4

The standard equation for a circle is

(x - h)² + (y - k)² = r²

(h, k) is the center and r is the radius

center = (h, k) = (-4, 2)

r = √4 = 2

Answer 2

x = -1

Explanation: