Question

Explain in sentences what a translations in, then create your own function and show 2 different translations – explain what each translation you create does to the parent graph.

Answer 1

Okay when you start with a parent graph

y = |x|   you can translate it

y = |x|  + 5  the number outside moves it up and down vertically

y =  |x - 6|  the -6 moves it right and left opposite to -6 (it moves it +6)

y = 3|x|  the 3 stretches or compresss it vertically (it gets skinnier or fatter)

This can be done with all types of graphs

y = x²

y= 2(x-3)² - 7  this is move +3 right, down 7 and stretched by 2