#1) How are translations represented as a function?
Answer: Well this is from math. It is actually relatively easy. The way that translations are represented as a function is the following: (x,y) ------> (x+7, y+5)
#2) What is the relationship between a translation and a rigid motion?
Answer: The relationship between a translation and a rigid motion is that they are the same but the orientation cannot be changed in a translation but it can be changed in a rigid motion.
I hope it helps, Regards.