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Transformations of Functions You need your notebook and pencil.
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Transcript of Transformations of Functions You need your notebook and pencil.
![Page 1: Transformations of Functions You need your notebook and pencil.](https://reader036.fdocuments.in/reader036/viewer/2022081805/5a4d1b5f7f8b9ab0599ac92f/html5/thumbnails/1.jpg)
Transformations of Functions
You need your notebook and pencil
![Page 2: Transformations of Functions You need your notebook and pencil.](https://reader036.fdocuments.in/reader036/viewer/2022081805/5a4d1b5f7f8b9ab0599ac92f/html5/thumbnails/2.jpg)
Translations
f(x) = (x – h) + k+ h moves graph left- h moves graph right + k moves graph up
- k moves graph down
![Page 3: Transformations of Functions You need your notebook and pencil.](https://reader036.fdocuments.in/reader036/viewer/2022081805/5a4d1b5f7f8b9ab0599ac92f/html5/thumbnails/3.jpg)
This Relationship…
Holds true for the graphs of all other functions, such as absolute value and square root, as well.
![Page 4: Transformations of Functions You need your notebook and pencil.](https://reader036.fdocuments.in/reader036/viewer/2022081805/5a4d1b5f7f8b9ab0599ac92f/html5/thumbnails/4.jpg)
Parent Graphs
These parent graphs are ANCHORED at the ORIGIN (0, 0).
![Page 5: Transformations of Functions You need your notebook and pencil.](https://reader036.fdocuments.in/reader036/viewer/2022081805/5a4d1b5f7f8b9ab0599ac92f/html5/thumbnails/5.jpg)
These parent graphs are ANCHORED at the ORIGIN (0, 0).
Key Points:(-2, 4)(-1, 1)(0, 0)(1, 1)(2, 4)
Key Points:(0, 0)(1, 1)(4, 2)
Key Points:(-2, -2)(-1, -1)(0, 0)(1, 1)(2, 2)
![Page 6: Transformations of Functions You need your notebook and pencil.](https://reader036.fdocuments.in/reader036/viewer/2022081805/5a4d1b5f7f8b9ab0599ac92f/html5/thumbnails/6.jpg)
Example•
![Page 7: Transformations of Functions You need your notebook and pencil.](https://reader036.fdocuments.in/reader036/viewer/2022081805/5a4d1b5f7f8b9ab0599ac92f/html5/thumbnails/7.jpg)
Do Now•
![Page 8: Transformations of Functions You need your notebook and pencil.](https://reader036.fdocuments.in/reader036/viewer/2022081805/5a4d1b5f7f8b9ab0599ac92f/html5/thumbnails/8.jpg)
Turn and Talk
Quickly compare your answers with the person next
to you!
![Page 9: Transformations of Functions You need your notebook and pencil.](https://reader036.fdocuments.in/reader036/viewer/2022081805/5a4d1b5f7f8b9ab0599ac92f/html5/thumbnails/9.jpg)
Today’s ActivityContinue your work from yesterday…
If you finish, WORK ON YOUR HOMEWORK!
Tomorrow we will re-visit the idea of –f(x) and f(-x)