To find the translation functions, we need to see how the points move from their original positions to the new positions. From point A (1, -1) to A’ (-7, -1), we move left, which means we subtract 8 from the x-coordinate. From point B (5, -2) to B’ (-1, -4), we also subtract 6 from the x-coordinate and subtract 2 from the y-coordinate, and then from point C (2, 3) to C’ (0, -3), we again subtract 2 from the x-coordinate and subtract 6 from the y-coordinate.
So, the translation functions are: f(x) = x - 8 and g(y) = y - 2.