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QUESTION

# How do you find the center-radius form of the equation of the circle described and graph it. center (-2,0), 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 (h,k) is the center of a circle with radius r.

Therefore, a circle with radius 5, centered at (-2,0) 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]}