Answer:
(x-1)^2 + (y+4)^2 = 9
Step-by-step explanation:
We can write the equation for a circle as
(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius
Substituting in (1,-4) for the center and 3 for the radius
(x-1)^2 + (y- -4)^2 = 3^2
(x-1)^2 + (y+4)^2 = 9