03.05.2019: One Lesson of Math – Transformations, 5/5: Combining Transformations of Functions

Today’s soundtrack is Dream Theater: Octavarium, an epic prog-metal masterpiece. The title track is of particular note, clocking in at nearly 25 minutes and featuring an incredible performance by the band.

I’ve spent the past few days learning how to modify a function’s equation to reflect it, translate it, and expand or compress it. Today, I’m putting all of those pieces together.