Vertical Compressions & Stretches

Vera Hu
We are going to study vertical compressions and stretches for functions. The graph in blue is the core function y = f(x) = x². The graph in green is g(x) = af(x), which represents a vertical stretch stretch or compression depending on the value of a. To value of a is originally set to be 1. To create a vertical stretch or compression, slide the value of a to the left or right. Do you recognize a relationship between the core function and the transformation based on the value of a?