Let us start with a function, in this case it is f (x) = x2, but it could be anything: f (x) = x2. Here are some simple things we can do to move...

Function transformations refer to how the graphs of functions move/resize/reflect according to the equation of the function. Learn the types of transformations of functions such as translation, …

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.

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, …

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.

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 …

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: …

We will review some of the important concepts dealing with functions and transformations of functions. Most likely you have encountered each of these ideas previously, but here we will …

Transformations often preserve the original shape of the function. Common types of transformations include rotations, translations, reflections, and scaling (also known as …

Nov 16, 2022 · In this section we will be looking at vertical and horizontal shifts of graphs as well as reflections of graphs about the x and y-axis. Collectively these are often called …