Which is the equation of a circle with its center at (-4,2) and a radius of 4?

A. (x + 4y + (y - 2y = 16

B. (x + 4y + (y - 29 - 4

C. (x - 4) * + (y + 2y = 16

D. (x-4) + (y + 2y = 4

(x + 4) ^2 + (y-2) ^2 = 16

Step-by-step explanation:

We can write the equation for a circle with the formula

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

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

We know the center is at (-4,2) and the radius is 4

(x - - 4) ^2 + (y-2) ^2 = 4^2

(x + 4) ^2 + (y-2) ^2 = 16