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

The original function [latex]f (x)=x [/latex] is also known as the parent function and is the linear function used for transformations in this section. We will apply transformations graphically and …

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...

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

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.

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, …

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 …

Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.

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): …

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 …