1. g(x) = -x + 2 2. g(x) = x 2 2 3. g(x)= 2 0.2x 4. g(x) = 2|x| 2 5. g(x) = 2.2(x+ 2) 2 Algebra...
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Transcript of 1. g(x) = -x + 2 2. g(x) = x 2 2 3. g(x)= 2 0.2x 4. g(x) = 2|x| 2 5. g(x) = 2.2(x+ 2) 2 Algebra...
![Page 1: 1. g(x) = -x + 2 2. g(x) = x 2 2 3. g(x)= 2 0.2x 4. g(x) = 2|x| 2 5. g(x) = 2.2(x+ 2) 2 Algebra II 1.](https://reader036.fdocuments.us/reader036/viewer/2022062317/5a4d1b8f7f8b9ab0599c0672/html5/thumbnails/1.jpg)
1. g(x) = -x + 22. g(x) = x2 – 2 3. g(x)= 2 – 0.2x4. g(x) = 2|x| – 2 5. g(x) = 2.2(x+ 2)2
Algebra II 1
![Page 2: 1. g(x) = -x + 2 2. g(x) = x 2 2 3. g(x)= 2 0.2x 4. g(x) = 2|x| 2 5. g(x) = 2.2(x+ 2) 2 Algebra II 1.](https://reader036.fdocuments.us/reader036/viewer/2022062317/5a4d1b8f7f8b9ab0599c0672/html5/thumbnails/2.jpg)
Algebra II
Transformations of Linear and Absolute Value Functions
![Page 3: 1. g(x) = -x + 2 2. g(x) = x 2 2 3. g(x)= 2 0.2x 4. g(x) = 2|x| 2 5. g(x) = 2.2(x+ 2) 2 Algebra II 1.](https://reader036.fdocuments.us/reader036/viewer/2022062317/5a4d1b8f7f8b9ab0599c0672/html5/thumbnails/3.jpg)
3Algebra II
![Page 4: 1. g(x) = -x + 2 2. g(x) = x 2 2 3. g(x)= 2 0.2x 4. g(x) = 2|x| 2 5. g(x) = 2.2(x+ 2) 2 Algebra II 1.](https://reader036.fdocuments.us/reader036/viewer/2022062317/5a4d1b8f7f8b9ab0599c0672/html5/thumbnails/4.jpg)
4Algebra II
![Page 5: 1. g(x) = -x + 2 2. g(x) = x 2 2 3. g(x)= 2 0.2x 4. g(x) = 2|x| 2 5. g(x) = 2.2(x+ 2) 2 Algebra II 1.](https://reader036.fdocuments.us/reader036/viewer/2022062317/5a4d1b8f7f8b9ab0599c0672/html5/thumbnails/5.jpg)
5Algebra II
![Page 6: 1. g(x) = -x + 2 2. g(x) = x 2 2 3. g(x)= 2 0.2x 4. g(x) = 2|x| 2 5. g(x) = 2.2(x+ 2) 2 Algebra II 1.](https://reader036.fdocuments.us/reader036/viewer/2022062317/5a4d1b8f7f8b9ab0599c0672/html5/thumbnails/6.jpg)
6Algebra II
![Page 7: 1. g(x) = -x + 2 2. g(x) = x 2 2 3. g(x)= 2 0.2x 4. g(x) = 2|x| 2 5. g(x) = 2.2(x+ 2) 2 Algebra II 1.](https://reader036.fdocuments.us/reader036/viewer/2022062317/5a4d1b8f7f8b9ab0599c0672/html5/thumbnails/7.jpg)
7Algebra II
![Page 8: 1. g(x) = -x + 2 2. g(x) = x 2 2 3. g(x)= 2 0.2x 4. g(x) = 2|x| 2 5. g(x) = 2.2(x+ 2) 2 Algebra II 1.](https://reader036.fdocuments.us/reader036/viewer/2022062317/5a4d1b8f7f8b9ab0599c0672/html5/thumbnails/8.jpg)
8Algebra II
![Page 9: 1. g(x) = -x + 2 2. g(x) = x 2 2 3. g(x)= 2 0.2x 4. g(x) = 2|x| 2 5. g(x) = 2.2(x+ 2) 2 Algebra II 1.](https://reader036.fdocuments.us/reader036/viewer/2022062317/5a4d1b8f7f8b9ab0599c0672/html5/thumbnails/9.jpg)
9Algebra II
1. f(x) = |1/3 x| ; translation 2 units left.
2. f(x) = -|x+9| -1; translation 6 units down.
3. f(x) = -2x + 2; translation 7 units down
![Page 10: 1. g(x) = -x + 2 2. g(x) = x 2 2 3. g(x)= 2 0.2x 4. g(x) = 2|x| 2 5. g(x) = 2.2(x+ 2) 2 Algebra II 1.](https://reader036.fdocuments.us/reader036/viewer/2022062317/5a4d1b8f7f8b9ab0599c0672/html5/thumbnails/10.jpg)
10Algebra II
4. f(x) = 1/2x + 8 ; reflection in the x axis.
5. f(x) = 4 + |x + 1|; reflection in the y axis.
6. f(x) = -5x; vertical shrink by factor of 1/5
![Page 11: 1. g(x) = -x + 2 2. g(x) = x 2 2 3. g(x)= 2 0.2x 4. g(x) = 2|x| 2 5. g(x) = 2.2(x+ 2) 2 Algebra II 1.](https://reader036.fdocuments.us/reader036/viewer/2022062317/5a4d1b8f7f8b9ab0599c0672/html5/thumbnails/11.jpg)
11Algebra II
7. f(x) = |x +3|+2 ; vertical stretch by factor 4
8. f(x) = 3x – 9; horizontal stretch by a factor of 6
9. f(x) = -|8x| - 4; horizontal shrink by a factor of ¼
![Page 12: 1. g(x) = -x + 2 2. g(x) = x 2 2 3. g(x)= 2 0.2x 4. g(x) = 2|x| 2 5. g(x) = 2.2(x+ 2) 2 Algebra II 1.](https://reader036.fdocuments.us/reader036/viewer/2022062317/5a4d1b8f7f8b9ab0599c0672/html5/thumbnails/12.jpg)
Algebra II 12
10. Consider the function f(x) = |x|. Write a function g whose graph represents a reflection in the x- axis followed by a horizontal stretch by a factor of 3 and a translation 5 units down. 11. Which of the transformation(s) will not change
the y-intercept of f(x) = |x | + 3?
![Page 13: 1. g(x) = -x + 2 2. g(x) = x 2 2 3. g(x)= 2 0.2x 4. g(x) = 2|x| 2 5. g(x) = 2.2(x+ 2) 2 Algebra II 1.](https://reader036.fdocuments.us/reader036/viewer/2022062317/5a4d1b8f7f8b9ab0599c0672/html5/thumbnails/13.jpg)
a. Write a function g whose graph is a translation 3 units down of the graph of f.
a. Write a function h whose graph is a translation 2 units to the left of the graph of f.
Algebra II 13
![Page 14: 1. g(x) = -x + 2 2. g(x) = x 2 2 3. g(x)= 2 0.2x 4. g(x) = 2|x| 2 5. g(x) = 2.2(x+ 2) 2 Algebra II 1.](https://reader036.fdocuments.us/reader036/viewer/2022062317/5a4d1b8f7f8b9ab0599c0672/html5/thumbnails/14.jpg)
14Algebra II
a. Write a function g whose graph is a translation 5 units up of the graph of f.
a. Write a function h whose graph is a translation 1 unit to the right of the graph of f.
![Page 15: 1. g(x) = -x + 2 2. g(x) = x 2 2 3. g(x)= 2 0.2x 4. g(x) = 2|x| 2 5. g(x) = 2.2(x+ 2) 2 Algebra II 1.](https://reader036.fdocuments.us/reader036/viewer/2022062317/5a4d1b8f7f8b9ab0599c0672/html5/thumbnails/15.jpg)
Algebra II 15
a. Write a function g whose graph is a reflection in the x axis of the graph f.
a. Write a function h whose graph is a reflection in the y-axis of the graph of f.
![Page 16: 1. g(x) = -x + 2 2. g(x) = x 2 2 3. g(x)= 2 0.2x 4. g(x) = 2|x| 2 5. g(x) = 2.2(x+ 2) 2 Algebra II 1.](https://reader036.fdocuments.us/reader036/viewer/2022062317/5a4d1b8f7f8b9ab0599c0672/html5/thumbnails/16.jpg)
Algebra II 16
a. Write a function h whose graph is a reflection in the x-axis of the graph of f.
a. Write a function g whose graph is a translation in the y-axis of the graph of f.
![Page 17: 1. g(x) = -x + 2 2. g(x) = x 2 2 3. g(x)= 2 0.2x 4. g(x) = 2|x| 2 5. g(x) = 2.2(x+ 2) 2 Algebra II 1.](https://reader036.fdocuments.us/reader036/viewer/2022062317/5a4d1b8f7f8b9ab0599c0672/html5/thumbnails/17.jpg)
Algebra II 17
a. Write a function g whose graph is a horizontal shrink of the graph of f by a factor of 1/3
a. Write a function h whose graph is a vertical stretch of the graph of f by a factor of 2.
![Page 18: 1. g(x) = -x + 2 2. g(x) = x 2 2 3. g(x)= 2 0.2x 4. g(x) = 2|x| 2 5. g(x) = 2.2(x+ 2) 2 Algebra II 1.](https://reader036.fdocuments.us/reader036/viewer/2022062317/5a4d1b8f7f8b9ab0599c0672/html5/thumbnails/18.jpg)
Algebra II 18
a. Write a function g whose graph is a horizontal stretch of the graph of f by a factor of 5
a. Write a function h whose graph is a vertical shrink of the graph of f by a factor of 0.25.
![Page 19: 1. g(x) = -x + 2 2. g(x) = x 2 2 3. g(x)= 2 0.2x 4. g(x) = 2|x| 2 5. g(x) = 2.2(x+ 2) 2 Algebra II 1.](https://reader036.fdocuments.us/reader036/viewer/2022062317/5a4d1b8f7f8b9ab0599c0672/html5/thumbnails/19.jpg)
Algebra II 19
a. Write a function g whose graph is a horizontal shrink of the graph of f by a factor of 1/3
a. Write a function h whose graph is a vertical stretch of the graph of f by a factor of 2.
![Page 20: 1. g(x) = -x + 2 2. g(x) = x 2 2 3. g(x)= 2 0.2x 4. g(x) = 2|x| 2 5. g(x) = 2.2(x+ 2) 2 Algebra II 1.](https://reader036.fdocuments.us/reader036/viewer/2022062317/5a4d1b8f7f8b9ab0599c0672/html5/thumbnails/20.jpg)
Algebra II 20
Write the graph of g such that it is a vertical shrink by a factor of 0.25 followed by a translation 3 units up of the graph of f.
![Page 21: 1. g(x) = -x + 2 2. g(x) = x 2 2 3. g(x)= 2 0.2x 4. g(x) = 2|x| 2 5. g(x) = 2.2(x+ 2) 2 Algebra II 1.](https://reader036.fdocuments.us/reader036/viewer/2022062317/5a4d1b8f7f8b9ab0599c0672/html5/thumbnails/21.jpg)
Algebra II 21
Let the graph of g be a translation 6 units down followed by a reflection in the x-axis of the graph of f. Write a rule for g.
![Page 22: 1. g(x) = -x + 2 2. g(x) = x 2 2 3. g(x)= 2 0.2x 4. g(x) = 2|x| 2 5. g(x) = 2.2(x+ 2) 2 Algebra II 1.](https://reader036.fdocuments.us/reader036/viewer/2022062317/5a4d1b8f7f8b9ab0599c0672/html5/thumbnails/22.jpg)
Algebra II 22
1. f(x) = 3x; translation 5 units up2. f(x) = |x| – 3; translation 4 units to the
right.3. f(x) = –|x+2| – 1 reflection in the x-axis4. f(x) = ½x + 1; reflection in the y-axis 5. f(x) = 4x + 2; horizontal stretch by a
factor of 26. f(x) = |x | – 3; vertical shrink by a factor
of 1/3