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A2 Transformations and period of Trig Functions Flashcards | StudBud
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A2 Transformations and period of Trig Functions
A2 Transformations and period of Trig Functions
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Trig Functions Practice Quiz #precalculus #trigonometry #transformations#period #amplitude
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Questions
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Answers
1
What is the period of the function f(x) = sin(x) ?
π
2π
π/2
3π
2
What is π/3 in degrees?
30
45
90
60
3
What is 3π in degrees?
180o
360o
270o
540o
4
Describe
exactly
the transformation of cos(x) to f(x) = 2cos(x)
A stretch of scale factor 2 parallel to the y axis
A stretch of 2 in y direction
A stretch narrower by 2
A stretch of scale factor 2 in the y direction
5
What is the period of the function f(x) = tan(x/2)- 1?
π/2
2π
π
4π
6
Which of the following is a local maximum for f(x) = 4cos(2x) + 1 ?
1
5
4
8
7
What is the period of the function f(x) = sin(2x) ?
2π
π/2
π
3π
8
Describe
exactly
the transformation of f(x) =cos (x) to f(x) = cos(3x)
A stretch of scale factor 1/3 parallel to the x axis
A stretch of scale factor 3 in the x direction
A stretch of scale factor 3 parallel to the x axis
A stretch of scale factor 1/3 in the x direction
9
What is the amplitude of the function f(x) = -3sin(2x)
-3
2
-2
3
10
What is the period of the function f(x) = tan(3(x-π/3)- 1?
60o
3π
30o
π/3
11
Describe the transformation on f(x)=tan(x) which gives f(x) = tan(x - 3) + 1
B
D
C
A
12
Describe the transformation of f(x) = sin(x) that gives f(x)=sin(2x)
A stretch of scale factor ½ parallel to the x axis
A stretch of scale factor 2 parallel to the x axis
A stretch of scale factor 2 parallel to the y axis
A stretch of scale factor ½ parallel to the y axis
13
What is the period of f(x)= tan(x-30
o
)- 1?
150o
60o
210o
180o
14
Describe
exactly
the transformation on f(x)=tanx given by the function f(x) = tan(x/2)
A stretch of scale factor 2 parallel to the x axis
A stretch in the x axis of 2
A stretch of scale factor ½ parallel to the x axis
A stretch in the x direction of ½
15
What is the period of the function f(x) = sin(x) - 2 ?
π/2
π
2π
3π
16
Which of the following is an asymptote for y = tan(½x)
0
3π/2
π
π/2
17
Describe,
exactly
, the transformation given by the function f(x) = 3cos(x)
A stretch of scale factor 3, parallel to the y axis
A stretch of 3, parallel to the y axis
A stretch of scale factor 3 in the y direction
A stretch of 3 in the y direction
18
What is the period of the function f(x) = tan(x)- 1?
8π
π/4
4π
π
19
What is the period of the function f(x) = sin(3x) ?
6π
2π/3
120o
1080o
20
What is 120 degrees in radians?
π/3
2π/3
3π/2
π
21
What is 1080 degrees in radians?
3π
4π
5π
6π
