29. y = x- 2 33. y (x- 3) + 2 30. y x + 3 34. y (x + 2)² + 1 32. y (x- 2) 36. y = -(x + 2) 31. y = (x + 1) 35. y = -(1- x)²

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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21. y f(x - 2) 3
25. y = -g(x)
y
22. y = f(x + 1) - 2
f(x)
26. y = ig(-x)
g(x).
23. y = -f(x- 1) + 2
27. y = -g(2x)
24. y = -2f(x) + 1
28. y = g(x)
%3D
In Exercises 29-52, graph the function using transformations.
29. y = x- 2
33. y (x-3)² + 2
37. y = |-x|
30. y x +3
34. y = (x + 2)² + 1
38. y = -|x|
42. y 2 x+ 1
y (x- 2)
36. y = -(x+ 2)²
40. y = |1 x + 2
31. y = (x + 1)2
%3D
|3|
35. y = -(1- x)²
39. y = -x + 2- 1
%3D
%3D
%3D
|
41. y 2x2 + 1
43. y = -Vx 2
44. y V2 - x
%3|
%3D
45. y -V2 + x-1
46. y = V2-x + 3
47. y = Vx -1+ 2
48. y Vx + 2 1
%3D
1 1
51. у 3D 2 -
1
+ 2
x + 3
1
52. y 2-
49. y=
50. у
%3D
3 x
x + 2
1 - x
Transcribed Image Text:21. y f(x - 2) 3 25. y = -g(x) y 22. y = f(x + 1) - 2 f(x) 26. y = ig(-x) g(x). 23. y = -f(x- 1) + 2 27. y = -g(2x) 24. y = -2f(x) + 1 28. y = g(x) %3D In Exercises 29-52, graph the function using transformations. 29. y = x- 2 33. y (x-3)² + 2 37. y = |-x| 30. y x +3 34. y = (x + 2)² + 1 38. y = -|x| 42. y 2 x+ 1 y (x- 2) 36. y = -(x+ 2)² 40. y = |1 x + 2 31. y = (x + 1)2 %3D |3| 35. y = -(1- x)² 39. y = -x + 2- 1 %3D %3D %3D | 41. y 2x2 + 1 43. y = -Vx 2 44. y V2 - x %3| %3D 45. y -V2 + x-1 46. y = V2-x + 3 47. y = Vx -1+ 2 48. y Vx + 2 1 %3D 1 1 51. у 3D 2 - 1 + 2 x + 3 1 52. y 2- 49. y= 50. у %3D 3 x x + 2 1 - x
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