ANSWER:
(x + 4)^2 + (y + 1)^2 = 74.
EXTRA v
The equation of a circle with center (h,k) and radius r is (x-h)^2 + (y-k)^2 = r^2.
(x - (-4))^2 + (y - (-1))^2 = (distance between center and point)^2
(x + 4)^2 + (y + 1)^2 = (4 - (-4))^2 + (2 - (-1))^2
(x + 4)^2 + (y + 1)^2 = 74