A circle has center (5. - -4) and radius 8. Which gives the equation for the circle?

A. (x + 5) 2 + (y + 4) 2 = 8

B. (X - 5) 2 + y + 4) 2 = 8

C. (x + 5) 2 + (y - 412

D. (x - 5) 2 + (y + 4) 2

(x-5) ^2 + (y+4) ^2 = 64

Step-by-step explanation:

We can write the equation of a circle as

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

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

(x-5) ^2 + (y - - 4) ^2 = 8^2

(x-5) ^2 + (y+4) ^2 = 64