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...

Rules of transformations help in transforming the given function horizontally or vertically by changing the domain and range values of the function. Let us learn more about the rules of transformations, with …

Transformation Rules for Functions Function Notation f(x) + d f(x) — d f(x + c) f(x — c) —f(x) f(-x) af(x) Type of Transformation Vertical translation up d units Vertical translation down d units Horizontal …

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.

We can think graphs of absolute value and quadratic functions as transformations of the parent functions |x| and x². Importantly, we can extend this idea to include transformations of any function …

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

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 videos.

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.

Understanding function transformations is key in Precalculus. These rules help us shift, stretch, compress, and reflect graphs, allowing us to visualize how changes in equations affect their shapes …

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 …