A triangular pyramid begins with these coordinates:
P(0, 5, 4)
Y(–2, 7, 4)
R(0, 7, 4)
A(0, 7, 6)
The pyramid is then reflected over the xz-plane. The reflected image is then translated 3 units back, 2 units left, and 4 units up. Determine the coordinates of that final image, following these steps:
• Show the results of your calculations for the reflection.
• Show the results of your calculations for the translation.

Question

A triangular pyramid begins with these coordinates:
P(0, 5, 4)
Y(–2, 7, 4)
R(0, 7, 4)
A(0, 7, 6)
The pyramid is then reflected over the xz-plane. The reflected image is then translated 3 units back, 2 units left, and 4 units up. Determine the coordinates of that final image, following these steps:
•	Show the results of your calculations for the reflection.
•	Show the results of your calculations for the translation.