At our 1st Southern #MTBoS tweetup, Tara (@chatelet0211) shared a document she had refined over the years for transformations and I knew I needed to use it this year. I did the graphs electronically and changed it to fit with the transformations and functions we needed to cover in Math 2 (we don't do horizontal dilations or reflections until Math 3).
The document is missing the equations of the new functions because I'm lazy and didn't want to type them all in so I printed and hand wrote them in. Maybe in my next life when I have time I will go back and add them electronically. It is 8 pages and I plan to fit 2 to a page and have students work in groups of 4. Each student will get a sheet with 6 graphs on it. The dotted lines show the parent function and the solid the transformed function. They are to identify how the new graph is related to the parent function. Then students will cut out their six functions to participate in the group activity. As a group students will decide which functions moved to the right, left, up, down etc. etc. and gather a list of those equations and notice what is similar in each equation for that particular transformation.
I included: quadratics, square roots, cube roots, and inverse functions
Transformations: Left, Right, Up, Down, Vertically Stretch/Compress and Reflect over the x axis.
Also in the link is my practice for quadratics and square roots separately. Some problems give them the graph, some the equation, and some the transformation and they must fill in the missing information and sketch the graph if not provided.
Here are the files!