A transformation T: (x, y) (x - 5, y + 3).

The image of A(2, -1) is

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To find the image of point A(2, -1) under the given transformation T: (x, y) → (x - 5, y + 3), we need to apply the transformation to the coordinates of point A.

Given that the x-coordinate of A is 2, we subtract 5 to get the new x-coordinate: x - 5 = 2 - 5 = -3.

Similarly, the y-coordinate of A is -1. By adding 3 to it, we determine the new y-coordinate: y + 3 = -1 + 3 = 2.

Therefore, the image of A(2, -1) under the given transformation is (-3, 2).