What is the equation of a circle with center (-5,-8) and radius 2

For a circle, we can use the following to write the equation:

(x - h) ² + (y - k) ² = r² where (h, k) is the center of the circle and r = radius

So: if your center is located at (-5,-8) and r = 2 the equation would be:

(x + 5) ² + (y + 8) ² = 2²