Consider a circle centered at (2,4). What are the coordinates of the center of the translated circle if we replace x with x-3 and y with y+5 in the equation of the circle?
The change is x is equivalent to moving the center 3 units to the right (in the +x direction) , making the new x coordinate equal to 5. The new y coordinate of the center is five units lower (-y direction), at y = -1.
(5,-1)