Final answer:
The coordinates of the preimage after the transformations R90° followed by T6,-2 are P(11, 1).
Step-by-step explanation:
To find the coordinates of the preimage after the transformations, we can apply the transformations to the original coordinates of point P.
1. R90° (rotation 90° counterclockwise):
- New x-coordinate = original y-coordinate: x' = 5
- New y-coordinate = -original x-coordinate: y' = -(-3) = 3
2. T6,-2 (translation 6 units right and 2 units down):
- New x-coordinate = original x-coordinate + 6: x'' = 5 + 6 = 11
- New y-coordinate = original y-coordinate - 2: y'' = 3 - 2 = 1
Therefore, the coordinates of the preimage are P(11, 1).