Question

Which of the following is the equation of the graphed circle? answers: 1) (x + 2)2 + (y – 3)2 = 25 2) (x – 2)2 + (y + 3)2 = 25 3) (x – 2)2 + (y + 3)2 = 5 4) (x + 2)2 + (y – 3)2 = 5

Answer 1

( x - 2)^2 + ( y +3) ^2 = 25

Explanation:

The center is at (2,-3) and the radius is 5 units

A circle can be written as

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

( x - 2)^2 + ( y - -3) ^2 = 5^2

( x - 2)^2 + ( y +3) ^2 = 25