Find the equation of the circle with a center at (-1,3) and a radius of 4.

(x + 1) ^2 + (y - 3) ^2 = 16.

Step-by-step explanation:

The standard form is

(x - h) ^2 + (y - k) ^2 = r^2 - (h, k) = center and r = radius

So we see with the given values our equation is:

(x - (-1)) ^2 + (y - 3) ^2 = 4^2

(x + 1) ^2 + (y - 3) ^2 = 16.