If the original triangle is the gray one, and it went through the transformation (x, y) -> (x - 1, y + 5)
Original triangle:
(-2, -2) ( 3, -4) and (6, 3)
Transformation: (-2 -1, -2 + 3) (3 - 1, -4 + 5) and (6 - 1, 3 + 5)
The points would be:
(-3, 3), (2, 1) and (5, 8)
Hope it helps