A Preview of Transformations Objective: Identify the transformations from one function to another.
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Transcript of A Preview of Transformations Objective: Identify the transformations from one function to another.
![Page 1: A Preview of Transformations Objective: Identify the transformations from one function to another.](https://reader036.fdocuments.us/reader036/viewer/2022070305/5513faf0550346e7488b4604/html5/thumbnails/1.jpg)
A Preview of Transformations
Objective: Identify the transformations from one function to
another.
![Page 2: A Preview of Transformations Objective: Identify the transformations from one function to another.](https://reader036.fdocuments.us/reader036/viewer/2022070305/5513faf0550346e7488b4604/html5/thumbnails/2.jpg)
Example 1
![Page 3: A Preview of Transformations Objective: Identify the transformations from one function to another.](https://reader036.fdocuments.us/reader036/viewer/2022070305/5513faf0550346e7488b4604/html5/thumbnails/3.jpg)
Example 1
![Page 4: A Preview of Transformations Objective: Identify the transformations from one function to another.](https://reader036.fdocuments.us/reader036/viewer/2022070305/5513faf0550346e7488b4604/html5/thumbnails/4.jpg)
Example 1
![Page 5: A Preview of Transformations Objective: Identify the transformations from one function to another.](https://reader036.fdocuments.us/reader036/viewer/2022070305/5513faf0550346e7488b4604/html5/thumbnails/5.jpg)
Overview
• If there is a value not attached to the x, it moves the graph up and down.
• If there is a value attached to the x (inside parenthesis) it moves the graph right to left.
5)( 2 xxf
2)5()( xxf
![Page 6: A Preview of Transformations Objective: Identify the transformations from one function to another.](https://reader036.fdocuments.us/reader036/viewer/2022070305/5513faf0550346e7488b4604/html5/thumbnails/6.jpg)
![Page 7: A Preview of Transformations Objective: Identify the transformations from one function to another.](https://reader036.fdocuments.us/reader036/viewer/2022070305/5513faf0550346e7488b4604/html5/thumbnails/7.jpg)
Try This
• Graph each pair of functions and identify the transformations from f to g.
2)(;)( 22 xxgxxf |3|)(|;|)( xxgxxf
![Page 8: A Preview of Transformations Objective: Identify the transformations from one function to another.](https://reader036.fdocuments.us/reader036/viewer/2022070305/5513faf0550346e7488b4604/html5/thumbnails/8.jpg)
Try This
• Graph each pair of functions and identify the transformations from f to g.
2)(;)( 22 xxgxxf |3|)(|;|)( xxgxxf
![Page 9: A Preview of Transformations Objective: Identify the transformations from one function to another.](https://reader036.fdocuments.us/reader036/viewer/2022070305/5513faf0550346e7488b4604/html5/thumbnails/9.jpg)
Try This
• Graph each pair of functions and identify the transformations from f to g.
2)(;)( 22 xxgxxf |3|)(|;|)( xxgxxf
![Page 10: A Preview of Transformations Objective: Identify the transformations from one function to another.](https://reader036.fdocuments.us/reader036/viewer/2022070305/5513faf0550346e7488b4604/html5/thumbnails/10.jpg)
Example 2
![Page 11: A Preview of Transformations Objective: Identify the transformations from one function to another.](https://reader036.fdocuments.us/reader036/viewer/2022070305/5513faf0550346e7488b4604/html5/thumbnails/11.jpg)
Example 2
![Page 12: A Preview of Transformations Objective: Identify the transformations from one function to another.](https://reader036.fdocuments.us/reader036/viewer/2022070305/5513faf0550346e7488b4604/html5/thumbnails/12.jpg)
Example 2
![Page 13: A Preview of Transformations Objective: Identify the transformations from one function to another.](https://reader036.fdocuments.us/reader036/viewer/2022070305/5513faf0550346e7488b4604/html5/thumbnails/13.jpg)
![Page 14: A Preview of Transformations Objective: Identify the transformations from one function to another.](https://reader036.fdocuments.us/reader036/viewer/2022070305/5513faf0550346e7488b4604/html5/thumbnails/14.jpg)
Try This
• Graph each pair of functions, and identify the transformation from f to g.
22 252)(;25)( xxgxxf 2312 25)(;25)( xxgxxf
![Page 15: A Preview of Transformations Objective: Identify the transformations from one function to another.](https://reader036.fdocuments.us/reader036/viewer/2022070305/5513faf0550346e7488b4604/html5/thumbnails/15.jpg)
Try This
• Graph each pair of functions, and identify the transformation from f to g.
22 252)(;25)( xxgxxf 2312 25)(;25)( xxgxxf
![Page 16: A Preview of Transformations Objective: Identify the transformations from one function to another.](https://reader036.fdocuments.us/reader036/viewer/2022070305/5513faf0550346e7488b4604/html5/thumbnails/16.jpg)
Try This
• Graph each pair of functions, and identify the transformation from f to g.
22 252)(;25)( xxgxxf 2312 25)(;25)( xxgxxf
![Page 17: A Preview of Transformations Objective: Identify the transformations from one function to another.](https://reader036.fdocuments.us/reader036/viewer/2022070305/5513faf0550346e7488b4604/html5/thumbnails/17.jpg)
Example 3
![Page 18: A Preview of Transformations Objective: Identify the transformations from one function to another.](https://reader036.fdocuments.us/reader036/viewer/2022070305/5513faf0550346e7488b4604/html5/thumbnails/18.jpg)
Example 3
![Page 19: A Preview of Transformations Objective: Identify the transformations from one function to another.](https://reader036.fdocuments.us/reader036/viewer/2022070305/5513faf0550346e7488b4604/html5/thumbnails/19.jpg)
Example 3
![Page 20: A Preview of Transformations Objective: Identify the transformations from one function to another.](https://reader036.fdocuments.us/reader036/viewer/2022070305/5513faf0550346e7488b4604/html5/thumbnails/20.jpg)
![Page 21: A Preview of Transformations Objective: Identify the transformations from one function to another.](https://reader036.fdocuments.us/reader036/viewer/2022070305/5513faf0550346e7488b4604/html5/thumbnails/21.jpg)
Example 4
![Page 22: A Preview of Transformations Objective: Identify the transformations from one function to another.](https://reader036.fdocuments.us/reader036/viewer/2022070305/5513faf0550346e7488b4604/html5/thumbnails/22.jpg)
Example 4
![Page 23: A Preview of Transformations Objective: Identify the transformations from one function to another.](https://reader036.fdocuments.us/reader036/viewer/2022070305/5513faf0550346e7488b4604/html5/thumbnails/23.jpg)
Example 4
![Page 24: A Preview of Transformations Objective: Identify the transformations from one function to another.](https://reader036.fdocuments.us/reader036/viewer/2022070305/5513faf0550346e7488b4604/html5/thumbnails/24.jpg)
![Page 25: A Preview of Transformations Objective: Identify the transformations from one function to another.](https://reader036.fdocuments.us/reader036/viewer/2022070305/5513faf0550346e7488b4604/html5/thumbnails/25.jpg)
Example 5
![Page 26: A Preview of Transformations Objective: Identify the transformations from one function to another.](https://reader036.fdocuments.us/reader036/viewer/2022070305/5513faf0550346e7488b4604/html5/thumbnails/26.jpg)
Example 5
![Page 27: A Preview of Transformations Objective: Identify the transformations from one function to another.](https://reader036.fdocuments.us/reader036/viewer/2022070305/5513faf0550346e7488b4604/html5/thumbnails/27.jpg)
Example 5
![Page 28: A Preview of Transformations Objective: Identify the transformations from one function to another.](https://reader036.fdocuments.us/reader036/viewer/2022070305/5513faf0550346e7488b4604/html5/thumbnails/28.jpg)
![Page 29: A Preview of Transformations Objective: Identify the transformations from one function to another.](https://reader036.fdocuments.us/reader036/viewer/2022070305/5513faf0550346e7488b4604/html5/thumbnails/29.jpg)
![Page 30: A Preview of Transformations Objective: Identify the transformations from one function to another.](https://reader036.fdocuments.us/reader036/viewer/2022070305/5513faf0550346e7488b4604/html5/thumbnails/30.jpg)
Homework
• Page 139-140• 11-51 odd