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Amplitude of Cosine Functions

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| By Thames

T

Thames

Community Contributor

Quizzes Created: 6941 | Total Attempts: 9,517,194

| Questions: 20

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Question 1 / 20

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1) Which function has amplitude 2?

Y = 2cos(x)

Y = cos(2x)

Y = cos(x) + 2

Y = (1/2)cos(x)

Submit

About This Quiz

Amplitude Of Cosine Functions - Quiz

Amplitude tells you how “tall” a cosine wave is from the midline to its peak. In this quiz, you’ll explore how coefficients affect the amplitude of cosine functions. You’ll match equations with their correct wave heights and learn to quickly spot how the number in front of cosine changes the... see moregraph. Try this quiz to build confidence in reading amplitudes. see less

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2) What is the amplitude of y = −12cos(x)?

0

−12

12

6

Submit

3) What is the amplitude of y = (5/6)cos(x)?

0

5/6

6/5

1

Submit

4) Which function has amplitude 1?

Y = 2cos(4x)

Y = (1/4)cos(x)

Y = −3cos(x)

Y = cos(x)

Submit

5) What is the amplitude of y = −8cos(x)?

−8

0

1

8

Submit

6) What is the amplitude of y = √2 cos(x)?

2

√2

1/√2

1

Submit

7) Which function has amplitude 4?

Y = (1/4)cos(x)

Y = cos(4x)

Y = cos(x) + 4

Y = 4cos(x)

Submit

8) What is the amplitude of y = (2/5)cos(x)?

2/5

5/2

1/2

2

Submit

9) What is the amplitude of y = −9cos(x)?

9

−9

1

0

Submit

10) Which function has amplitude 11?

Y = cos(11x)

Y = cos(x) − 11

Y = 11cos(x)

Y = (1/11)cos(x)

Submit

11) What is the amplitude of y = (7/10)cos(x)?

7/10

10/7

1

0

Submit

12) What is the amplitude of y = −cos(x)?

0

−1

1

2

Submit

13) Which function has amplitude 6?

Y = cos(6x)

Y = (1/6)cos(x)

Y = 6cos(x)

Y = cos(x) + 6

Submit

14) What is the amplitude of y = (1/4)cos(x)?

4

1

0

1/4

Submit

15) What is the amplitude of y = 3cos(x)?

1

2

3

1/3

Submit

16) What is the amplitude of y = −5cos(x)?

5

−5

0

1

Submit

17) What is the amplitude of y = (1/2)cos(x)?

2

1/2

1

3/2

Submit

18) Which function has amplitude 7?

Y = cos(7x)

Y = (1/7)cos(x)

Y = cos(x) + 7

Y = 7cos(x)

Submit

19) What is the amplitude of y = −(3/4)cos(x)?

1

3/4

−3/4

4/3

Submit

20) What is the amplitude of y = 10cos(2x)?

20

10

2

1

Submit

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Quiz Review Timeline (Updated): Oct 12, 2025 +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

Current Version
Oct 12, 2025

Quiz Edited by
ProProfs Editorial Team
Sep 30, 2025

Quiz Created by
Thames

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All (20)
Unanswered ()
Answered ()

Which function has amplitude 2?

What is the amplitude of y = −12cos(x)?

What is the amplitude of y = (5/6)cos(x)?

Which function has amplitude 1?

What is the amplitude of y = −8cos(x)?

What is the amplitude of y = √2 cos(x)?

Which function has amplitude 4?

What is the amplitude of y = (2/5)cos(x)?

What is the amplitude of y = −9cos(x)?

Which function has amplitude 11?

What is the amplitude of y = (7/10)cos(x)?

What is the amplitude of y = −cos(x)?

Which function has amplitude 6?

What is the amplitude of y = (1/4)cos(x)?

What is the amplitude of y = 3cos(x)?

What is the amplitude of y = −5cos(x)?

What is the amplitude of y = (1/2)cos(x)?

Which function has amplitude 7?

What is the amplitude of y = −(3/4)cos(x)?

What is the amplitude of y = 10cos(2x)?

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