Answer: The transformation r y=x reflects the point (x, y) across the line y = x, and the transformation T -3,3 translates the point (x, y) three units to the left and three units up. To find the image point of (-8, 2) after these transformations, we can follow these steps:
Apply the reflection r y=x to the point (-8, 2):
(-8, 2) reflects to (2, -8).
Apply the translation T -3,3 to the reflected point (2, -8):
(2, -8) translates to (-1, -5).
Therefore, the image point of (-8, 2) after the transformation r y=x T -3,3 is (-1, -5).
Explanation: