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.

In a similar way, we can distort or transform mathematical functions to better adapt them to describing objects or processes in the real world. In this section, we will take a look at several …

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

In mathematics, a transformation, transform, or self-map[1] is a function f, usually with some geometrical underpinning, that maps a set X to itself, i.e. f: X → X. [2][3][4] Examples include …

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 …

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 …