A(2,6)
1) Considering this rigid transformation, and applying that translation rule we have:
Pre-image Rule Image
A (x + 3, y - 4) A'(5,2)
2) So subtracting 3 units from the x-coordinate and adding 4 to the y-coordinates the image will be:
Pre-image Rule Image
A(2,6) (x + 3, y - 4) A'(5,2)
3) Hence, the coordinates of A is (2, 6)