The circle centered at -2,3 with a radius of 3 units is translated 5 units down and 4 units right. Graphing the translated circle, what are the coordinates of the center, A'?

The center of the original circle is (-2,3).

To translate the circle 5 units down and 4 units right, we need to subtract 5 from the y-coordinate and add 4 to the x-coordinate of the center.

So, the new coordinates of the center A' are:
x-coordinate: -2 + 4 = 2
y-coordinate: 3 - 5 = -2

Therefore, the coordinates of the center A' are (2,-2).