The center of a circle is at (2, - 5) and it's radius is 12. What is the equation of the circle?

A.) (x+2) ^2 + (y-5) ^2 = 24

B.) (x-2) ^2 + (y+5) ^2 = 24

C.) (x+2) ^2 + (y-2) ^2 = 144

D.) (x-2) ^2 + (y+5) ^2 = 144

The equation for a circle is (x-h) ^2 + (y-k) ^2=r^2

You just have to plug in your coordinates h is the x and k is the y.

The r is radius squared.

so, (x-2) ^2 + (y - (-5) ^2=144

You have to be careful of those tricky negative values. When you distribute the y - (-5) it turns into y+5.

So your answer is D.