These lessons with videos and examples help Pre-Calculus students learn about transformations of linear functions - how linear graphs are affected by different transformations.

A function may be transformed by a shift up, down, left, or right. A function may also be transformed using a reflection, stretch, or compression. The original function f (x) = x is also known as the parent …

I can graph transformations of linear functions. I can explain how translations, refl ections, stretches, and shrinks affect graphs of functions.

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...

To review basic transformations, see Symmetry, Reflections, Translations, Dilations and Rotations. move and resize graphs of functions. We examined the following changes to f (x): This page is a …

There are three types of transformations —translations, rotations, and reflections. Look at the four functions and their graphs below. Notice that all of the lines above are parallel. The slopes are the …

Feb 2, 2025 · Two important examples of linear transformations are the zero transformation and identity transformation. The zero transformation defined by T (x →) = 0 → for all x → is an example of a …

When a linear function f(x) is multiplied by -1 before or after the function has been evaluated, the result is a reflection across the x-or y-axis. Every x- or y-coordinate of f(x) is multiplied by −1.

A transformation of a linear equation is an operation happening to the initial function f (x) that changes the function in some way

In this article, we will see what are the rules of function transformations and we will see how to do transformations of different types of functions along with examples.