How well do you know Amplitude and Period?
How well do you know amplitude and period? Take this amplitude and period quiz to test your knowledge. Amplitude and period are used in various fields and concepts. If you have studied it well and wish to practice it once again, you have landed on the right platform. Go for this quiz, and see how much you score. Your scores will reveal whether you need more practice or know it well. All the best! Do not forget to share the quiz.
Questions and Answers
- 1.
What is the horizontal length required to complete one cycle called?
- A.
Amplitude
- B.
Period
- C.
Cycle
- D.
Axis of Oscillation
Correct Answer
B. PeriodExplanation
The horizontal length required to complete one cycle is called the period. The period represents the time it takes for a complete oscillation or vibration to occur. It is often measured in seconds and is a fundamental concept in the study of waves and oscillations. The period is inversely related to the frequency of the wave, meaning that a shorter period corresponds to a higher frequency and vice versa.Rate this question:
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- 2.
Which value represents amplitude in the function y = a sin(bx-h) + k
- A.
A
- B.
B
- C.
H
- D.
K
Correct Answer
A. AExplanation
The value "a" represents the amplitude in the function y = a sin(bx-h) + k. Amplitude refers to the maximum displacement or distance from the equilibrium position in a periodic function. In this case, "a" determines the vertical stretch or compression of the graph, indicating how high or low the function will oscillate from the midline.Rate this question:
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- 3.
The __________ measure the distance from the midline to the max or min of the function.
- A.
Period
- B.
Phase Shift
- C.
Amplitude
- D.
Vertical translation
Correct Answer
C. AmplitudeExplanation
The amplitude of a function measures the distance from the midline (or average value) of the function to its maximum or minimum value. It represents the maximum displacement of the function from its midline.Rate this question:
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- 4.
If no dilations occur, what is the normal period of a sine or cosine function?
- A.
2π
- B.
π
- C.
π/2
- D.
1/2π
Correct Answer
A. 2πExplanation
The normal period of a sine or cosine function is 2π. This means that the graph of the function repeats itself every 2π units along the x-axis.Rate this question:
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- 5.
What is the amplitude of y=3sin(7x)-2?
- A.
2
- B.
3
- C.
6
- D.
8
Correct Answer
B. 3Explanation
The amplitude of a sine function is the distance between the maximum and minimum values of the function. In this case, the coefficient in front of the sine function is 3, which represents the amplitude. Therefore, the amplitude of y=3sin(7x)-2 is 3.Rate this question:
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- 6.
The period of a sine or cosine graph can be found by
- A.
B(2π)
- B.
2π+B
- C.
2π
- D.
2π/B
Correct Answer
D. 2π/BExplanation
The period of a sine or cosine graph can be found by dividing 2π by the coefficient of the variable inside the trigonometric function. In this case, the coefficient is B, so the period would be 2π/B.Rate this question:
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- 7.
What is the amplitude and period of y = 2sin(πx)?
- A.
2 and π
- B.
2π and 2
- C.
2 and 2
- D.
π and 2
Correct Answer
C. 2 and 2Explanation
The given equation is in the form y = A*sin(Bx), where A represents the amplitude and B represents the period. In this case, the amplitude is 2, which represents the maximum value that the function reaches above and below the x-axis. The period is also 2, which represents the distance between two consecutive peaks or troughs of the graph.Rate this question:
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- 8.
Find the amplitude and period f(x)= 2sinx.
- A.
A = 2, P = 2π
- B.
A = 2, P = 1
- C.
A = 2π, P = 2
- D.
A = 2, P = π
Correct Answer
A. A = 2, P = 2πExplanation
The amplitude of a sinusoidal function determines the maximum distance the graph reaches from its midline. In this case, the amplitude is 2, indicating that the graph oscillates between a maximum value of 2 and a minimum value of -2.
The period of a sinusoidal function is the distance between two consecutive peaks or troughs of the graph. In this case, the period is 2π, which means that the graph completes one full cycle every 2π units.
Therefore, the correct answer is A = 2, P = 2π.Rate this question:
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- 9.
Write the equation for a sine function with an amplitude of 6 and a period of π/4.
- A.
Y=6sin8(x-1)
- B.
Y=6sin(8x)
- C.
Y=6sinx
- D.
Y=6sin1/4x
Correct Answer
B. Y=6sin(8x)Explanation
The equation for a sine function with an amplitude of 6 and a period of π/4 is y=6sin(8x). The amplitude of 6 means that the graph will oscillate between -6 and 6. The period of π/4 means that the graph will complete one full cycle in a distance of π/4 on the x-axis. The coefficient of 8 in front of x indicates that the graph will be compressed horizontally, making it oscillate more rapidly.Rate this question:
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- 10.
Convert 100⁰ to radians.
- A.
π/2
- B.
5π/6
- C.
5π/8
- D.
5π/9
Correct Answer
D. 5π/9Explanation
To convert degrees to radians, we use the formula: radians = (degrees * π) / 180. In this case, we have 100 degrees. Plugging this value into the formula, we get: radians = (100 * π) / 180 = 5π/9. Therefore, the correct answer is 5π/9.Rate this question:
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Nov 16, 2023Quiz Edited by
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Nov 22, 2022Quiz Created by
Sophia Smith
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