Find the equation of the circle centered at $ (1,-4) $ with radius 3.

(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