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Trigonometric Functions and Transformations

Trigonometric Functions and Transformations

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Which of the following describes the transformation of the function?
The function of cos(t) is shifted π/4 units to the left
The function of cos(t) is shifted π/4 units up
The function of cos(t) is shifted π/4 units to the right
The function of cos(t) is shifted π/4 units to the left
The function of cos(t) is shifted π/4 units down

Which of the following describes the transformation of the function?
The function of tan(t) shifted π/2 units to the right
The function of tan(t) shifted π/2 units to the left
The function of tan(t) shifted π/2 units to the right
The function of tan(t) shifted π/2 units down
The function of tan(t) shifted π/2 units up

Which of the following describes the transformation of the function?
The function of sin(x) is shifted 5 units up
The function of sin(x) is shifted 5 units down
The function of sin(x) is shifted 5 units up
The function of sin(x) is shifted 5 units to the right
The function of sin(x) is shifted 5 units to the left

Which of the following describes the transformation of the function?
The function of cos(x) is shifted 2 units down
The function of cos(x) is shifted 2 units to the right
The function of cos(x) is shifted 2 units to the left
The function of cos(x) is shifted 2 units down
The function of cos(x) is shifted 2 units up

The function of sin(t) is shifted π/9 units to the left, and 2 units down
The function of sin(t) is shifted π/9 units to the right, and 2 units down
The function of sin(t) is shifted π/9 units to the left, and 2 units down
The function of sin(t) is shifted 2 units to the right, and π/9 units down
The function of sin(t) is shifted 2 units to the left, and π/9 units downa

The function of sin(t) is shifted π/3 units to the right, and 1 unit up
The function of sin(t) is shifted π/3 units to the right, and 1 unit up
The function of sin(t) is shifted π/3 units to the left, and 1 unit up
The function of sin(t) is shifted 1 unit to the right, and π/3 unit up
The function of sin(t) is shifted 1 unit to the left, and π/3 unit down

Which value is the amplitude of the function?
3
1
π/3
3

What is the phase shift of the function?
π/4
π/2
π
π/4
-1

What is the period of the function?
π
π
π/4

What is the phase shift of the function?
π/3
π
π/3
3
4

What is the period of the function?
2π/3
π
2π/3
π/3

What is the amplitude of the function?
1
3
1
4
π

What is the amplitude of the function?
2
2
1
4
π/3

What is the period of the function?
π/2
π/2
π/3
π

What is the phase shift of the function?
π/12
π/3
π/4
π/12
π