The given equation represents circle P in the xy-plane: $(x-3)^2+(y+7…

Question

Prompt

The given equation represents circle P in the xy-plane:

(x - 3)^{2} + (y + 7)^{2} = 25

. Circle Q has a center that is 1 unit to the right of and 2 units below the center of circle P. Circle Q has a diameter that is double the diameter of circle P. Which equation represents circle Q?

(x - 2)^{2} + (y + 5)^{2} = 50

(x - 4)^{2} + (y + 9)^{2} = 50

(x - 2)^{2} + (y + 5)^{2} = 100

(x - 4)^{2} + (y + 9)^{2} = 100