Describe the transformation of f(x) = (x+4)2 that gives f(x)=(2x+8)2

A stretch of scale factor ½ parallel to the x axis

Describe, exactly, the transformation given by the function f(x) = 3cos(x)

A stretch of scale factor 3, parallel to the y axis

Describe the transformation of f(x) = x3 that gives f(x)=(2x)3

A stretch of scale factor ½ parallel to the x axis

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

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

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

Describe exactly the transformation of cos(x) to f(x) = 2cos(x)

A stretch of scale factor 2 parallel to the y axis

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A2 Transformations and period of Trig Functions

10 termsStudBud Administration23 plays

Trig Functions Practice Quiz #precalculus #trigonometry #transformations#period #amplitude

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Questions 10

Answers

1
Describe the transformation of f(x) = (x+4)² that gives f(x)=(2x+8)²
A stretch of scale factor 2 parallel to the x axis
A stretch of scale factor ½ parallel to the y axis
A stretch of scale factor ½ parallel to the x axis
A stretch of scale factor 2 parallel to the y axis
2
Describe, exactly, the transformation given by the function f(x) = 3cos(x)
A stretch of 3, parallel to the y axis
A stretch of 3 in the y direction
A stretch of scale factor 3 in the y direction
A stretch of scale factor 3, parallel to the y axis
3
Describe the transformation of f(x) = x³ that gives f(x)=(2x)³
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
4
What is the amplitude of the function f(x) = -3sin(2x)
-2
2
-3
3
5
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
6
Describe exactly the transformation on f(x)=tanx given by the function f(x) = tan(x/2)
A stretch in the x direction of ½
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
7
Describe the transformation on f(x)=tan(x) which gives f(x) = tan(x - 3) + 1
D
B
C
A
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 parallel to the x axis
A stretch of scale factor 1/3 in the x direction
A stretch of scale factor 3 in the x direction
9
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 of scale factor 2 in the y direction
A stretch narrower by 2
10
Which of the following is a local maximum for f(x) = 4cos(2x) + 1 ?
1
5
4
8

A2 Transformations and period of Trig Functions Flashcards | StudBud

A2 Transformations and period of Trig Functions

10 termsStudBud Administration23 plays

Trig Functions Practice Quiz #precalculus #trigonometry #transformations#period #amplitude

Flashcards10 cardsFPractice quizPHost liveL

Questions 10

Answers

1
Describe the transformation of f(x) = (x+4)² that gives f(x)=(2x+8)²
A stretch of scale factor 2 parallel to the x axis
A stretch of scale factor ½ parallel to the y axis
A stretch of scale factor ½ parallel to the x axis
A stretch of scale factor 2 parallel to the y axis
2
Describe, exactly, the transformation given by the function f(x) = 3cos(x)
A stretch of 3, parallel to the y axis
A stretch of 3 in the y direction
A stretch of scale factor 3 in the y direction
A stretch of scale factor 3, parallel to the y axis
3
Describe the transformation of f(x) = x³ that gives f(x)=(2x)³
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
4
What is the amplitude of the function f(x) = -3sin(2x)
-2
2
-3
3
5
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
6
Describe exactly the transformation on f(x)=tanx given by the function f(x) = tan(x/2)
A stretch in the x direction of ½
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
7
Describe the transformation on f(x)=tan(x) which gives f(x) = tan(x - 3) + 1
D
B
C
A
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 parallel to the x axis
A stretch of scale factor 1/3 in the x direction
A stretch of scale factor 3 in the x direction
9
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 of scale factor 2 in the y direction
A stretch narrower by 2
10
Which of the following is a local maximum for f(x) = 4cos(2x) + 1 ?
1
5
4
8