The triangle and the transformed image are added as an attachment
Graphing the triangle and the transformed image
From the question, we have the following parameters that can be used in our computation:
M(-4, 3), P(-5, 8), and Q(-1, 6)
Also, we have
- Translation along <-4, -4>
- Reflection in the line y = x.
The rule of these transformations are
- Translation: (x - 4, y - 4)
- Reflection: (y - 4, x - 4)
Using the above as a guide, we have the following:
M(-4, 3), P(-5, 8), and Q(-1, 6)
M'(3 - 4, -4 - 4), P'(8 - 4, -5 - 4), and Q'(6 - 4, -1 - 4)
Evaluate
M'(-1, -8), P'(4, -9), and Q'(2, -5)
Hence, the transformed image is M'(-1, -8), P'(4, -9), and Q'(2, -5)