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, dilation, …

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.

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, …

Oct 5, 2025 · This section explores transformations of functions, including vertical and horizontal shifts, reflections, stretches, and compressions. It explains how changes to the function's equation affect its …

While it is common to use the term transformation for any function of a set into itself (especially in terms like "transformation semigroup" and similar), there exists an alternative form of terminological …

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 tie the concepts …

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

A shift, horizontally or vertically, is a type of transformation of a function. Other transformations include horizontal and vertical scalings, and reflections about the axes.