What is the equation for a circle given it's center is at (4, - 1) and it's radius is 5

(x-4) ^2 + (y+1) ^2 = 25

Step-by-step explanation:

We can write the equation for a circle

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

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

(x-4) ^2 + (y - - 1) ^2 = 5^2

(x-4) ^2 + (y+1) ^2 = 5^2

(x-4) ^2 + (y+1) ^2 = 25