When teaching transformations of functions one traditionally spends a significant amount of time sketching various transformations of each function. This has always been a great way to illustrate the “shift” yet a lot can be lost in the amount of time and effort each function takes to sketch. Then I found Desmos.
Desmos can sketch large numbers of functions on the same graph almost instantly. This shortens the time it takes to illustrate the idea of shifting parent functions. Also you could break students into teams to explore different transformations if you are short on time (which most of us are). You can share your graphs by linking to your google account and choosing save.
So here is one resource I’ve used multiple times to explore transformations to functions. Investigating Absolute Value Transformations. I hope that it proves useful to you.
Smashing Maths 