40. y = -3 cos x 39. y =-4 cos x 42 y= 41. y
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.5: Trigonometric Graphs
Problem 48E
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Topic Video
Question
39-40-41-42 please ???❤️❤️❤️
![CONCEPT AND VOCABULARY CHECK
Fill in each blank so that the resulting statement is true.
1. The graph of y = A sin Bx has
5. The graph of y = A cos Bx has
amplitude =
2. The amplitude of y = 3 sin x is and the
period is.
3. The period of y = 4 sin 2x is .
x-values for the five key points are x, =
and period
amplitude = -
and period =
6. The amplitude of y = }cos 3x is _
period is -
and the
so the
7. True or false: The graph of y = cosx +
units to the right of the graph of y =ncos x.
|lies
X2
,and
8. True or false: The graph of y = cos( 2r
phase shift .
9. True or false: The maximum value of the function
y =-2 cos x +5 is 7..
10. Truc or false: The minimum value of the function
y =12 sin x ++1 is –1,
has
4. The graph of y =nA sin (Bx – C) has phase shift
. If this phase shift is positive, the graph of
y = A sin Bx is shifted to the
shift is negative, the graph of y = A sin Bx is shifted
to the
If this phase
EXERCISE SET 5.5
Practice Exercises
28. y = -2 in(2x +) 26., y = -3 sin(2 + )
26. y = -3 sin 2x +
In Exercises 1-6, determine the amplitude of each function.
Then graph the function and y = sin x in the same rectangular
coordinate system for 0 sxs 27.
1. y= 4 sin x
3. y = } sin x
5. y = -3 sin x
In Exercises 7-16, determine the amplitude and period of each
function. Then graph one period of the function.
28. y = 3 sin(2mx + 4)
30. y = -3 sin(2mx + 4m)
27. y = 3 sin(7x + 2)
29. y = -2 sin(2mx + 4m)
2 y = 5 sin x
In Exercises 31-34, determine the amplitude of each function.
Then graph the function and y = cos x in the same rectangular
coordinate system for 0 sxs 2m.
4. y =į sin x
6. y = -4 sin x
31. y = 2 cosx
33. y = -2 cos x
32. y = 3 cos x
34. y = -3 cos x
7. y = sin 2x
9. y = 3 sin ¿x
11. y = 4 sin mx
13. y = -3 sin 27x
15, y = -sin jx
8. y = sin 4x
10. y = 2 sin x
12. y = 3 sin 2mx
14. y = -2 sin 7x
16. y = -sin fx
In Exercises 35-42, determine the amplitude and period of each
function. Then graph one period of the function.
35, y = cos 2x
37. y = 4 cos 2mx
39. y = -4 cos x
36. y = cos 4x
38. y = 5 cos 2nx
40. y = -3 cos x
In Exercises 17-30, determine the amplitude, period, and phase
shift of each function. Then graph one period of the function.
41.
42
* of
18. y = sin x -
In Exercises 43-52, determine the amplitude, period, and phase
shift of each function. Then graph one period of the function.
17. y = sin(x - )
20. y = sin 2x -
44. y = cos( x
19. y = sin(2x – ")
43. y
cos x
2. y = 3 sin( 2r -)
24. y = } sin(x + #)
21. y = 3 sin(2r – =)
45.
3 cos( 2r - =)
46. y = 4 cos( 2r - m)
23. y = }sin(a + =)
47. y = cos( 3x +
48. y = cos( 2x + #)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa4ccf661-b1e1-43dd-83e3-77c42ba27e66%2F954bb916-13d2-4d44-92e8-49e5b732b41a%2Fz4msqs_processed.jpeg&w=3840&q=75)
Transcribed Image Text:CONCEPT AND VOCABULARY CHECK
Fill in each blank so that the resulting statement is true.
1. The graph of y = A sin Bx has
5. The graph of y = A cos Bx has
amplitude =
2. The amplitude of y = 3 sin x is and the
period is.
3. The period of y = 4 sin 2x is .
x-values for the five key points are x, =
and period
amplitude = -
and period =
6. The amplitude of y = }cos 3x is _
period is -
and the
so the
7. True or false: The graph of y = cosx +
units to the right of the graph of y =ncos x.
|lies
X2
,and
8. True or false: The graph of y = cos( 2r
phase shift .
9. True or false: The maximum value of the function
y =-2 cos x +5 is 7..
10. Truc or false: The minimum value of the function
y =12 sin x ++1 is –1,
has
4. The graph of y =nA sin (Bx – C) has phase shift
. If this phase shift is positive, the graph of
y = A sin Bx is shifted to the
shift is negative, the graph of y = A sin Bx is shifted
to the
If this phase
EXERCISE SET 5.5
Practice Exercises
28. y = -2 in(2x +) 26., y = -3 sin(2 + )
26. y = -3 sin 2x +
In Exercises 1-6, determine the amplitude of each function.
Then graph the function and y = sin x in the same rectangular
coordinate system for 0 sxs 27.
1. y= 4 sin x
3. y = } sin x
5. y = -3 sin x
In Exercises 7-16, determine the amplitude and period of each
function. Then graph one period of the function.
28. y = 3 sin(2mx + 4)
30. y = -3 sin(2mx + 4m)
27. y = 3 sin(7x + 2)
29. y = -2 sin(2mx + 4m)
2 y = 5 sin x
In Exercises 31-34, determine the amplitude of each function.
Then graph the function and y = cos x in the same rectangular
coordinate system for 0 sxs 2m.
4. y =į sin x
6. y = -4 sin x
31. y = 2 cosx
33. y = -2 cos x
32. y = 3 cos x
34. y = -3 cos x
7. y = sin 2x
9. y = 3 sin ¿x
11. y = 4 sin mx
13. y = -3 sin 27x
15, y = -sin jx
8. y = sin 4x
10. y = 2 sin x
12. y = 3 sin 2mx
14. y = -2 sin 7x
16. y = -sin fx
In Exercises 35-42, determine the amplitude and period of each
function. Then graph one period of the function.
35, y = cos 2x
37. y = 4 cos 2mx
39. y = -4 cos x
36. y = cos 4x
38. y = 5 cos 2nx
40. y = -3 cos x
In Exercises 17-30, determine the amplitude, period, and phase
shift of each function. Then graph one period of the function.
41.
42
* of
18. y = sin x -
In Exercises 43-52, determine the amplitude, period, and phase
shift of each function. Then graph one period of the function.
17. y = sin(x - )
20. y = sin 2x -
44. y = cos( x
19. y = sin(2x – ")
43. y
cos x
2. y = 3 sin( 2r -)
24. y = } sin(x + #)
21. y = 3 sin(2r – =)
45.
3 cos( 2r - =)
46. y = 4 cos( 2r - m)
23. y = }sin(a + =)
47. y = cos( 3x +
48. y = cos( 2x + #)
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