Just like Transformations in Geometry, we can move and resize the graphs of functions

The transformations of functions define how to graph a function is moving and how its shape is being changed. There are basically three types of function transformations: translation, …

Importantly, we can extend this idea to include transformations of any function whatsoever! This fascinating concept allows us to graph many other types of functions, like square/cube root, …

In the general form of function transformations, they are represented by the letters c and d. Horizontal shifts correspond to the letter c in the general expression.

A function presented as an equation can be reflected by applying transformations one at a time. Even functions are symmetric about the y-axis, whereas odd functions are symmetric about …

This page is a summary of all of the function transformation we have investigated. For more information on each transformation, follow the links within each section below.

This article and the next four ones will focus on the different transformations we can perform on a given function. Below is a list of the common transformations performed on a graph:

This video reviews function transformation including stretches, compressions, shifts left, shifts right, and reflections across the x and y axes. Scroll down the page for more explanations and …

Transformations allow us to modify functions to shift, stretch, compress, or re ect their graphs. Understanding transformations is key to graphing functions quickly and interpreting their …

Transformations of functions are essential concepts in mathematics that involve manipulating a function to change its position or shape. There are three primary types of transformations: …