Which equation represents the image of circle (x – 5)2 + (y + 12)2 = 169 after a translation 2 units right and 3 units down?
(x – 5)2 + (y + 12)2 = 169
The center of this circle is (5, -12)
2 right and 3 down puts it at (7, -15)
So we have
(x – 7)2 + (y + 15)2 = 169