Functions Test!. Quick recap Each question will appear for 20s and you must try to answer as many as...
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Transcript of Functions Test!. Quick recap Each question will appear for 20s and you must try to answer as many as...
![Page 1: Functions Test!. Quick recap Each question will appear for 20s and you must try to answer as many as you can… A translation of 5 units in the x direction.](https://reader035.fdocuments.us/reader035/viewer/2022062515/56649cdc5503460f949a7075/html5/thumbnails/1.jpg)
Functions Test!
![Page 2: Functions Test!. Quick recap Each question will appear for 20s and you must try to answer as many as you can… A translation of 5 units in the x direction.](https://reader035.fdocuments.us/reader035/viewer/2022062515/56649cdc5503460f949a7075/html5/thumbnails/2.jpg)
Quick recap• Each question will appear for 20s and you
must try to answer as many as you can…A translation of 5 units in the x direction means that you replace…
f(x)-5 represents what transformation?
y=(2x)2 represents what transformation of y=x2
What two transformations change y=3x+1 into y=-3x+2?
Why must you be careful if translating and stretching in the x direction?
x with x-5
Translation 5 units down in y or -5 units in y
Stretch scale factor 1/2 in the x direction
Reflect in the x axis followed by translation of 1 unit in y
The order matters and gives a different image.
![Page 3: Functions Test!. Quick recap Each question will appear for 20s and you must try to answer as many as you can… A translation of 5 units in the x direction.](https://reader035.fdocuments.us/reader035/viewer/2022062515/56649cdc5503460f949a7075/html5/thumbnails/3.jpg)
Combined Transformations
• Know when order combined transformations is important
• Understand how to perform a combination of transformations where the same variable is replaced.
• Be able to show these combinations of transformations in function notation. How you can find out what pairs of transformations cause a function to change into another.
![Page 4: Functions Test!. Quick recap Each question will appear for 20s and you must try to answer as many as you can… A translation of 5 units in the x direction.](https://reader035.fdocuments.us/reader035/viewer/2022062515/56649cdc5503460f949a7075/html5/thumbnails/4.jpg)
Notation
• You need to be able to interrupt combined transformations with function notations.
baxf )(
b
a
)(axbf axis- // x s.f.stretch a1
axis-y // b s.f.stretch
![Page 5: Functions Test!. Quick recap Each question will appear for 20s and you must try to answer as many as you can… A translation of 5 units in the x direction.](https://reader035.fdocuments.us/reader035/viewer/2022062515/56649cdc5503460f949a7075/html5/thumbnails/5.jpg)
Notation
• You need to be able to interrupt combined transformations with function notations.
)204( xf
0
5
axis- // x s.f.stretch 41
))5(4( xf
![Page 6: Functions Test!. Quick recap Each question will appear for 20s and you must try to answer as many as you can… A translation of 5 units in the x direction.](https://reader035.fdocuments.us/reader035/viewer/2022062515/56649cdc5503460f949a7075/html5/thumbnails/6.jpg)
Notation
• You need to be able to interrupt combined transformations with function notations.
6)(2 xf
3
0
axis-y // 2 s.f.stretch 3)(2 xf
![Page 7: Functions Test!. Quick recap Each question will appear for 20s and you must try to answer as many as you can… A translation of 5 units in the x direction.](https://reader035.fdocuments.us/reader035/viewer/2022062515/56649cdc5503460f949a7075/html5/thumbnails/7.jpg)
Dominoes time!
![Page 8: Functions Test!. Quick recap Each question will appear for 20s and you must try to answer as many as you can… A translation of 5 units in the x direction.](https://reader035.fdocuments.us/reader035/viewer/2022062515/56649cdc5503460f949a7075/html5/thumbnails/8.jpg)
The order of combinations
When doing combined transformations on the x and y variable, the order doesn’t matter.
BUT if you do two transformations on the same variable, the order does matter!
![Page 9: Functions Test!. Quick recap Each question will appear for 20s and you must try to answer as many as you can… A translation of 5 units in the x direction.](https://reader035.fdocuments.us/reader035/viewer/2022062515/56649cdc5503460f949a7075/html5/thumbnails/9.jpg)
![Page 10: Functions Test!. Quick recap Each question will appear for 20s and you must try to answer as many as you can… A translation of 5 units in the x direction.](https://reader035.fdocuments.us/reader035/viewer/2022062515/56649cdc5503460f949a7075/html5/thumbnails/10.jpg)
Backwards
You will need to be able to find transformations if given an image and what it was mapped from.
e.g. What two transformations maps
22 12 xx
0
1axis- // x1/2 SFstretch
21x 212 x
![Page 11: Functions Test!. Quick recap Each question will appear for 20s and you must try to answer as many as you can… A translation of 5 units in the x direction.](https://reader035.fdocuments.us/reader035/viewer/2022062515/56649cdc5503460f949a7075/html5/thumbnails/11.jpg)
Backwards
You will need to be able to find transformations if given an image and what it was mapped from.
0
1axis- // x1/2 SFstretch
22x 212 x
222 x
![Page 12: Functions Test!. Quick recap Each question will appear for 20s and you must try to answer as many as you can… A translation of 5 units in the x direction.](https://reader035.fdocuments.us/reader035/viewer/2022062515/56649cdc5503460f949a7075/html5/thumbnails/12.jpg)
Have a go at Exam Qs
![Page 13: Functions Test!. Quick recap Each question will appear for 20s and you must try to answer as many as you can… A translation of 5 units in the x direction.](https://reader035.fdocuments.us/reader035/viewer/2022062515/56649cdc5503460f949a7075/html5/thumbnails/13.jpg)
Independent Study
Exercise C p49 (solution p169)