11 x1 t02 09 shifting curves i (2012)
TRANSCRIPT
![Page 1: 11 x1 t02 09 shifting curves i (2012)](https://reader035.vdocuments.us/reader035/viewer/2022081403/556f5e6ed8b42a916b8b5110/html5/thumbnails/1.jpg)
Shifting Curves I
![Page 2: 11 x1 t02 09 shifting curves i (2012)](https://reader035.vdocuments.us/reader035/viewer/2022081403/556f5e6ed8b42a916b8b5110/html5/thumbnails/2.jpg)
Shifting Curves I y f x c or y c f x
moves or unitsf x c
![Page 3: 11 x1 t02 09 shifting curves i (2012)](https://reader035.vdocuments.us/reader035/viewer/2022081403/556f5e6ed8b42a916b8b5110/html5/thumbnails/3.jpg)
Shifting Curves I y f x c or y c f x
moves or unitsf x c
y f x c
moves or unitsf x c
![Page 4: 11 x1 t02 09 shifting curves i (2012)](https://reader035.vdocuments.us/reader035/viewer/2022081403/556f5e6ed8b42a916b8b5110/html5/thumbnails/4.jpg)
Shifting Curves I y f x c or y c f x
moves or unitsf x c
y f x c
moves or unitsf x c
y f x
reflects in the axis (i.e. flips upside down)f x x
![Page 5: 11 x1 t02 09 shifting curves i (2012)](https://reader035.vdocuments.us/reader035/viewer/2022081403/556f5e6ed8b42a916b8b5110/html5/thumbnails/5.jpg)
Shifting Curves I y f x c or y c f x
moves or unitsf x c
y f x c
moves or unitsf x c
y f x
reflects in the axis (i.e. flips upside down)f x x
y f x
reflects in the axisf x y
![Page 6: 11 x1 t02 09 shifting curves i (2012)](https://reader035.vdocuments.us/reader035/viewer/2022081403/556f5e6ed8b42a916b8b5110/html5/thumbnails/6.jpg)
2e.g. 3 4i y x
![Page 7: 11 x1 t02 09 shifting curves i (2012)](https://reader035.vdocuments.us/reader035/viewer/2022081403/556f5e6ed8b42a916b8b5110/html5/thumbnails/7.jpg)
y
x
21. : basic curve y x
2e.g. 3 4i y x
![Page 8: 11 x1 t02 09 shifting curves i (2012)](https://reader035.vdocuments.us/reader035/viewer/2022081403/556f5e6ed8b42a916b8b5110/html5/thumbnails/8.jpg)
y
x
21. : basic curve y x
2e.g. 3 4i y x
2. shift right 3 units
3
![Page 9: 11 x1 t02 09 shifting curves i (2012)](https://reader035.vdocuments.us/reader035/viewer/2022081403/556f5e6ed8b42a916b8b5110/html5/thumbnails/9.jpg)
y
x
21. : basic curve y x
2e.g. 3 4i y x
2. shift right 3 units
3. shift up 4 units 4
![Page 10: 11 x1 t02 09 shifting curves i (2012)](https://reader035.vdocuments.us/reader035/viewer/2022081403/556f5e6ed8b42a916b8b5110/html5/thumbnails/10.jpg)
y
x
21. : basic curve y x
2e.g. 3 4i y x
2. shift right 3 units
3. shift up 4 units (3,4)
![Page 11: 11 x1 t02 09 shifting curves i (2012)](https://reader035.vdocuments.us/reader035/viewer/2022081403/556f5e6ed8b42a916b8b5110/html5/thumbnails/11.jpg)
y
x
21. : basic curve y x
2e.g. 3 4i y x
2. shift right 3 units
3. shift up 4 units (3,4)
31 2ii y x
![Page 12: 11 x1 t02 09 shifting curves i (2012)](https://reader035.vdocuments.us/reader035/viewer/2022081403/556f5e6ed8b42a916b8b5110/html5/thumbnails/12.jpg)
y
x
21. : basic curve y x
2e.g. 3 4i y x
2. shift right 3 units
3. shift up 4 units (3,4)
31 2ii y x
y
x
31. : basic curve y x
![Page 13: 11 x1 t02 09 shifting curves i (2012)](https://reader035.vdocuments.us/reader035/viewer/2022081403/556f5e6ed8b42a916b8b5110/html5/thumbnails/13.jpg)
y
x
21. : basic curve y x
2e.g. 3 4i y x
2. shift right 3 units
3. shift up 4 units (3,4)
31 2ii y x
y
x
31. : basic curve y x2. reflect in x axis
![Page 14: 11 x1 t02 09 shifting curves i (2012)](https://reader035.vdocuments.us/reader035/viewer/2022081403/556f5e6ed8b42a916b8b5110/html5/thumbnails/14.jpg)
y
x
21. : basic curve y x
2e.g. 3 4i y x
2. shift right 3 units
3. shift up 4 units (3,4)
31 2ii y x
y
x
31. : basic curve y x2. reflect in x axis3. shift left 1 unit
1
![Page 15: 11 x1 t02 09 shifting curves i (2012)](https://reader035.vdocuments.us/reader035/viewer/2022081403/556f5e6ed8b42a916b8b5110/html5/thumbnails/15.jpg)
y
x
21. : basic curve y x
2e.g. 3 4i y x
2. shift right 3 units
3. shift up 4 units (3,4)
31 2ii y x
y
x
31. : basic curve y x2. reflect in x axis3. shift left 1 unit 4. shift up 2 units
2
![Page 16: 11 x1 t02 09 shifting curves i (2012)](https://reader035.vdocuments.us/reader035/viewer/2022081403/556f5e6ed8b42a916b8b5110/html5/thumbnails/16.jpg)
y
x
21. : basic curve y x
2e.g. 3 4i y x
2. shift right 3 units
3. shift up 4 units (3,4)
31 2ii y x
y
x
31. : basic curve y x2. reflect in x axis3. shift left 1 unit 4. shift up 2 units
(–1,2)
![Page 17: 11 x1 t02 09 shifting curves i (2012)](https://reader035.vdocuments.us/reader035/viewer/2022081403/556f5e6ed8b42a916b8b5110/html5/thumbnails/17.jpg)
2 2 2 4 4 0iii x x y y
![Page 18: 11 x1 t02 09 shifting curves i (2012)](https://reader035.vdocuments.us/reader035/viewer/2022081403/556f5e6ed8b42a916b8b5110/html5/thumbnails/18.jpg)
2 2 2 4 4 0iii x x y y
2 21 2 4 1 49
x y
![Page 19: 11 x1 t02 09 shifting curves i (2012)](https://reader035.vdocuments.us/reader035/viewer/2022081403/556f5e6ed8b42a916b8b5110/html5/thumbnails/19.jpg)
2 2 2 4 4 0iii x x y y
2 21 2 4 1 49
x y
y
x2 21. : 9basic curve x y
![Page 20: 11 x1 t02 09 shifting curves i (2012)](https://reader035.vdocuments.us/reader035/viewer/2022081403/556f5e6ed8b42a916b8b5110/html5/thumbnails/20.jpg)
2 2 2 4 4 0iii x x y y
2 21 2 4 1 49
x y
y
x2 21. : 9basic curve x y
2. shift left 1 unit 1
![Page 21: 11 x1 t02 09 shifting curves i (2012)](https://reader035.vdocuments.us/reader035/viewer/2022081403/556f5e6ed8b42a916b8b5110/html5/thumbnails/21.jpg)
2 2 2 4 4 0iii x x y y
2 21 2 4 1 49
x y
y
x2 21. : 9basic curve x y
2. shift left 1 unit 3. shift up 2 units
2
![Page 22: 11 x1 t02 09 shifting curves i (2012)](https://reader035.vdocuments.us/reader035/viewer/2022081403/556f5e6ed8b42a916b8b5110/html5/thumbnails/22.jpg)
2 2 2 4 4 0iii x x y y
2 21 2 4 1 49
x y
y
x2 21. : 9basic curve x y
2. shift left 1 unit
(–1,2)
3. shift up 2 units
![Page 23: 11 x1 t02 09 shifting curves i (2012)](https://reader035.vdocuments.us/reader035/viewer/2022081403/556f5e6ed8b42a916b8b5110/html5/thumbnails/23.jpg)
2 2 2 4 4 0iii x x y y
2 21 2 4 1 49
x y
y
x2 21. : 9basic curve x y
2. shift left 1 unit
(–1,2)
3. shift up 2 units
2 xiii y
![Page 24: 11 x1 t02 09 shifting curves i (2012)](https://reader035.vdocuments.us/reader035/viewer/2022081403/556f5e6ed8b42a916b8b5110/html5/thumbnails/24.jpg)
2 2 2 4 4 0iii x x y y
2 21 2 4 1 49
x y
y
x2 21. : 9basic curve x y
2. shift left 1 unit
(–1,2)
3. shift up 2 units
2 xiii y y
x
1. : 2xbasic curve y 1
![Page 25: 11 x1 t02 09 shifting curves i (2012)](https://reader035.vdocuments.us/reader035/viewer/2022081403/556f5e6ed8b42a916b8b5110/html5/thumbnails/25.jpg)
2 2 2 4 4 0iii x x y y
2 21 2 4 1 49
x y
y
x2 21. : 9basic curve x y
2. shift left 1 unit
(–1,2)
3. shift up 2 units
2 xiii y y
x
1. : 2xbasic curve y 2. reflect in y axis 1
![Page 26: 11 x1 t02 09 shifting curves i (2012)](https://reader035.vdocuments.us/reader035/viewer/2022081403/556f5e6ed8b42a916b8b5110/html5/thumbnails/26.jpg)
Exercise 2I; 1bdefg, 3abdf, 4, 5ace,6bdf, 7ac, 9, 10acgnpr, 12