Learn how to recognize shifts, vertical and horizontal stretches and reflections as they affect parent functions in this free math video tutorial by Mario's Math Tutoring.

0:00 Intro
0:22 Diagrams of 6 Basic Parent Functions
1:07 Looking at a Horizontal Shift of the Square Root Function
1:53 Looking at a Horizontal Shift of the Absolute Value Function
2:15 Vertical Stretch of the Reciprocal Function
2:57 A General Way to Analyze Shifts, Stretches and Reflections
3:44 Example of Transforming a Cubic Function
4:00 A Shortcut for Graphing by Shifting the Origin or Starting Point
4:50 A Reflection of the Step Function
5:29 A Horizontal Compression of the Quadratic Function
6:23 More Challenging Example
8:18 A Simpler Way to Graph Taking the Translation into Account First
9:37 A Summary of the Transformations
10:26 A Reflection Over the x-axis

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