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Shifting, Stretching and Reflecting Parent Function Graphs
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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
Related Videos:
Graphing Step Functions
Graphing Square Root & Cube Root Functions
Graphing Parabolas in Vertex Form
Learn Algebra 1 Lesson by Lesson in my "Learn Algebra 1" video course for sale here:
Looking to raise your math score on the ACT and new SAT?
Check out my Huge ACT Math Video Course and my Huge SAT Math Video Course for sale at
For online 1-to-1 tutoring or more information about me see my website at:
* Organized List of My Video Lessons to Help You Raise Your Scores & Pass Your Class. Videos Arranged by Math Subject as well as by Chapter/Topic. (Bookmark the Link Below)
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
Related Videos:
Graphing Step Functions
Graphing Square Root & Cube Root Functions
Graphing Parabolas in Vertex Form
Learn Algebra 1 Lesson by Lesson in my "Learn Algebra 1" video course for sale here:
Looking to raise your math score on the ACT and new SAT?
Check out my Huge ACT Math Video Course and my Huge SAT Math Video Course for sale at
For online 1-to-1 tutoring or more information about me see my website at:
* Organized List of My Video Lessons to Help You Raise Your Scores & Pass Your Class. Videos Arranged by Math Subject as well as by Chapter/Topic. (Bookmark the Link Below)
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