Combining Transformations - When Does Order Matter? • [1.3a] PRE-CALCULUS 12

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: https://www.youtube.com/playlist?list=PL0oMrVaWT6dm5tr3u6lJD01Zkxh0R-lsY 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/folders/0B8-7ZM2atlouVnZub1ZIdEdTeHc?resourcekey=0-b7MduMUYQWXc16lS75TxKw&usp=sharing #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