Grade 12 math - function transformations.

This session is for grade 12 pre-calculus.

Classes haven't started yet at the time I created this session, however I've found that most teachers start with function transformations. I'll go over what each transformation means in the following:

y = A f[ B(x - C)] + D

I'll demonstrate using example functions, what order the transformation should be done in, and how to draw the graph of the transformed function from a "base" function.

It's a lot to cover in just half an hour, but I think it's doable, but I won't have time to explore many examples. As long as I don't have anyone scheduled after, I don't mind going a little longer than half an hour to go over any specific questions you may have.

Transformations of functions is foundational to grade 12 maht, and will come up again in most of the future chapters of the course. So don't decide that this will be the chapter you "just don't get" as you won't "get" much of the rest of the course! Don't worry, I'll go over it again (and again) as it appears throughout the course, so even if it doesn't completely sink in yet, you'll get more chances to understand.

I've included a file below of graph paper. Although not always necessary for doing transformations, if you are required to do graphing, using graph paper is best for accurate graphs.