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 f (x) = x is also known as the parent function and is the linear function used for transformations in this section. We will apply transformations graphically and consider what these …

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 …

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

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 …

Write an equation of a function that represents a horizontal translation, a reflection over the y-axis, and a vertical dilation of the parent function f(x) = x.

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...

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

A linear transformation is a function from one vector space to another that respects the underlying (linear) structure of each vector space. A linear transformation is also known as a linear operator or …

Explore the fascinating realm of linear transformations and the foundational parent linear function. Understand their significance and practical applications.