How do you find the center-radius form of the equation of the circle described and graph it. center (-20) radius 5?

Use the equation and plug in the center and the radius.
##(x+2)^2+y^2=25##
Recall the equation for a circle:
##(x-h)^2+(y-k)^2=r^2##
Where ##(hk)## is the center of a circle with radius ##r##.
Therefore a circle with radius ##5## centered at ##(-20)## has the equation:
##color(red)((x+2)^2+y^2=25##
And the graph would look like
graph{(x+2)^2+y^2=25 [-14.24 14.24 -7.12 7.12]}