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YouTube

Understanding Order of Function Transformations in Mathematics

GreeneMath.com via YouTube

Overview

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Learn how to determine and apply the correct order of multiple function transformations in this 27-minute mathematics video lesson. Master both vertical and horizontal transformations through detailed problem-solving examples and step-by-step procedures. Follow along with interactive Desmos calculator demonstrations that illustrate key concepts including function composition, graphing transformations, and their combinations. Practice with multiple worked examples that progress from basic vertical transformations to more complex combinations of both vertical and horizontal shifts. Access supplementary materials through provided Desmos calculator links for additional practice and visualization of the mathematical concepts covered.

Syllabus

00:00 Introduction
00:31 Order of Vertical Transformations Problem #1
04:58 Order of Vertical Transformations Procedure
06:15 Order of Vertical Transformations Problem #2
10:20 Order of Horizontal Transformations Problem #1 Part 1
12:05 Using Function Composition
13:28 Order of Horizontal Transformations Problem #1 Part 2
17:18 Order of Horizontal Transformations Procedure
18:57 Order of Horizontal Transformations Problem #2
21:38 Combining Graphing Transformations
22:49 Order of Function Transformations Problem #1

Taught by

GreeneMath.com

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