In this section, students explore the effects of transformations on a function that change its shape, including multiplying the input or output of a function by a scale factor and combining functions.

First, they fit quadratic functions to parabolic arches in photos in order to better understand how to “squash” or “stretch” outputs as they explore the effect of multiplying...

In this final section, students have the opportunity to apply their thinking from throughout the unit. As this is a short section followed by an End-of-Unit Assessment, there are no section goals or checkpoint questions.

In this section, students consider transformations of functions that retain the shape of the original function. They begin with vertical and horizontal translations and reflections across the horizontal and vertical axes. Students have seen these types of transformations when studying quadratic functions. This section extends that understanding to all function types.

First, students consider the graphs of two possible functions...

In this section, students examine how transformations to functions affect their equations and graphs. Students begin by performing the same transformation on different functions. They observe that under the same transformations, the graphs and equations change in similar ways.

In the next lesson, students move towards generalizing these effects on equations of functions, including expressing transformations of an unknown function...