Question

Which of the following is a result of shifting a circle with equation (x-3)² + (y-5) = 36 down 2 units?

A. (x-3)² + (y-7) = 36

B. (x-3)² + (y-3) = 36

C. (x-3)² + (y-4) = 36

D. (x-3)² + (y-6) = 36

Answer 1

To shift a circle down 2 units, subtract 2 from the y-coordinate of the circle's center. Therefore, the new equation is A) (x-3)² + (y-7) = 36.

Step-by-step explanation:

To shift a circle down 2 units, we need to subtract 2 from the y-coordinate of the center of the circle. In the given equation, the center of the circle is (3,5). Therefore, the new equation with the circle shifted down 2 units becomes:

(x-3)² + (y-7) = 36

So, the correct option is A. (x-3)² + (y-7) = 36.