3.5-2 – Writing New Functions. Recall… We can transform a basic parent function by: – Vertical...
-
Upload
randell-stewart -
Category
Documents
-
view
212 -
download
0
Transcript of 3.5-2 – Writing New Functions. Recall… We can transform a basic parent function by: – Vertical...
![Page 1: 3.5-2 – Writing New Functions. Recall… We can transform a basic parent function by: – Vertical Shift – Horizontal Shift – Reflection – Stretch/Compress.](https://reader036.fdocuments.us/reader036/viewer/2022083008/56649f525503460f94c765a2/html5/thumbnails/1.jpg)
3.5-2 – Writing New Functions
![Page 2: 3.5-2 – Writing New Functions. Recall… We can transform a basic parent function by: – Vertical Shift – Horizontal Shift – Reflection – Stretch/Compress.](https://reader036.fdocuments.us/reader036/viewer/2022083008/56649f525503460f94c765a2/html5/thumbnails/2.jpg)
• Recall…• We can transform a basic parent function by:– Vertical Shift– Horizontal Shift– Reflection– Stretch/Compress
![Page 3: 3.5-2 – Writing New Functions. Recall… We can transform a basic parent function by: – Vertical Shift – Horizontal Shift – Reflection – Stretch/Compress.](https://reader036.fdocuments.us/reader036/viewer/2022083008/56649f525503460f94c765a2/html5/thumbnails/3.jpg)
• Knowing the information for transformations, we can write new equations to show a desired transformation
![Page 4: 3.5-2 – Writing New Functions. Recall… We can transform a basic parent function by: – Vertical Shift – Horizontal Shift – Reflection – Stretch/Compress.](https://reader036.fdocuments.us/reader036/viewer/2022083008/56649f525503460f94c765a2/html5/thumbnails/4.jpg)
• Example. Using the function f(x) = x2, move the function 4 units left and 2 units down.– What kind of transformations?– How do we show these transformations?
![Page 5: 3.5-2 – Writing New Functions. Recall… We can transform a basic parent function by: – Vertical Shift – Horizontal Shift – Reflection – Stretch/Compress.](https://reader036.fdocuments.us/reader036/viewer/2022083008/56649f525503460f94c765a2/html5/thumbnails/5.jpg)
• Example. Using the function f(x) = |x|, move the function 6 units up and reflect over the x-axis.
![Page 6: 3.5-2 – Writing New Functions. Recall… We can transform a basic parent function by: – Vertical Shift – Horizontal Shift – Reflection – Stretch/Compress.](https://reader036.fdocuments.us/reader036/viewer/2022083008/56649f525503460f94c765a2/html5/thumbnails/6.jpg)
• Example. Using the function f(x) = x4, move the function 3 units left, 2 units up, and reflect over the y-axis.
![Page 7: 3.5-2 – Writing New Functions. Recall… We can transform a basic parent function by: – Vertical Shift – Horizontal Shift – Reflection – Stretch/Compress.](https://reader036.fdocuments.us/reader036/viewer/2022083008/56649f525503460f94c765a2/html5/thumbnails/7.jpg)
• Now, with your neighbors, write 2 new functions based on the reflections and other transformations we have learned. Then, exchange with a neighbor.
![Page 8: 3.5-2 – Writing New Functions. Recall… We can transform a basic parent function by: – Vertical Shift – Horizontal Shift – Reflection – Stretch/Compress.](https://reader036.fdocuments.us/reader036/viewer/2022083008/56649f525503460f94c765a2/html5/thumbnails/8.jpg)
• Assignment• Pg. 257• 24-33, all (really)
![Page 9: 3.5-2 – Writing New Functions. Recall… We can transform a basic parent function by: – Vertical Shift – Horizontal Shift – Reflection – Stretch/Compress.](https://reader036.fdocuments.us/reader036/viewer/2022083008/56649f525503460f94c765a2/html5/thumbnails/9.jpg)
• Please check the solutions in the back of your textbook. If you do not have your textbook, please get near someone who does.
![Page 10: 3.5-2 – Writing New Functions. Recall… We can transform a basic parent function by: – Vertical Shift – Horizontal Shift – Reflection – Stretch/Compress.](https://reader036.fdocuments.us/reader036/viewer/2022083008/56649f525503460f94c765a2/html5/thumbnails/10.jpg)