Learn about whether or not the order matters when various combinations of transformations are applied to a function. Pairs of transformations are applied in two different orders, and the resulting graphs and equations are compared. Concepts are addressed three ways: graphically, numerically, and algebraically, ie. with graphs, points, and equations.
See the rest of my videos covering other Function Transformations concepts:    • ★ Function Transformations [Chapter 1...  

Corresponds to chapter 1, section 1.3 in McGraw-Hill's Pre-Calculus 12, but also fits with the Function Transformations unit from almost any other Pre-Calculus course or textbook.

My instructional approach emphasizes conceptual understanding of and connections between concepts and ideas, rather than just pure memorization.

A PDF copy of the 'Video Guide' document used in these videos as well as lots of other resources are available at https://drive.google.com/drive/folder...

#precalc12bytheaamg

00:00 Introduction
00:15 Various Combinations We’ll Use
00:53 Example 1: Transformations in Different Directions – Does Order Matter?
03:22 Example 2: Expansions/Compressions/Reflections in Same Direction – Does Order Matter?
06:12 Example 3: Expansion/Compression/Reflection with Translation in Same Direction – Does Order Matter?
11:55 Example 4: Different Combinations, Same Result
17:07 SUMMARY of Order of Combined Transformations
19:11 Wrap Up and End Screen