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, …

In this unit, we 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, exponential and …

Once we know a handful of parent functions, we can transform those functions to build related functions. Geometry swoops in as we translate, reflect, and dilate the graphs, working back and forth between …

Well, a function can be transformed the same way any geometric figure can: They could be shifted/translated, reflected, rotated, dilated, or compressed. So that's pretty much all you can do …

We use transformations in a variety of fields, like engineering, physics, and economics. For example, in physics, we often use transformations to change the units of a function in order to make it easier to …

Practice the concept of function scaling and the relationship between its algebraic and graphical representations.

Review the basics of functions and explore some of the types of functions covered in earlier math courses, including absolute value functions and quadratic functions.

This topic covers: - Evaluating functions - Domain & range of functions - Graphical features of functions - Average rate of change of functions - Function combination and composition - Function …

Describe and relate the characteristics of the graphs of linear, quadratic, exponential, and piecewise-defined functions, including those in contextual situations.

If you start seeing things where the components start getting multiplied by each other or you start seeing squares or exponents, you're probably not dealing with a linear transformation. And then there's …