In this lesson, students apply the same transformation to different function types. In each activity, students see the results of the transformations by graphing. This gives students an opportunity to notice patterns and move toward generalization as they reason repeatedly (MP8). They observe the changes to the graphs of the functions as well as write equations for the functions after undergoing a transformation. Students also graph a function under a transformation, then trade with partners and identify the original function and what transformation was used. 

A note about terminology:

Students have seen transformations with coordinate geometry for lines and parabolas, and the work of this unit builds directly from that learning. In order to support this connection, the focus is on the structure of equations for graphs that have undergone a transformation. The function before any transformations have been applied is called the "original function," which may be represented as an original equation or original graph. After applying the transformation to the graph, there will be a corresponding new equation or transformed equation. 

If needed, mention to students that the "original function," or function before any transformations have occurred, is sometimes called a "parent function."