A triangular pyramid is defined by the points .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.

Question

Write the general rule you use for the reflection.
Show the results of your calculations for the reflection.
Write the general rule you use for the translation. (Hint: Begin with the result of the rule for the reflection.)
Show the results of your calculations for the translation.

Any like advice that can help?

Answer 1

reflection: (x,y,z) -> (x,-y,z)
Now just apply the shifts.