Question

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

Answer 1

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