Final answer:
The image point of (0, -4) after the transformation T3,3 R270 is (-1, -3).
Step-by-step explanation:
The image point of (0, -4) after the transformation T3,3 R270 can be found by applying the translation followed by the rotation:
- Translate the point (0, -4) by adding (3, 3) to get (3, -1).
- Rotate the translated point by 270 degrees counterclockwise about the origin to get (-1, -3).
Therefore, the image point of (0, -4) after the transformation T3,3 R270 is (-1, -3).