Trigonometric Graphing Quiz Form
Test your knowledge of trigonometric graphing concepts. Select the best answer or provide your response for each question.
Which function represents a sine wave with amplitude 3 and period 2Ï€?
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y = 3sin(x)
y = sin(3x)
y = 3sin(2x)
y = sin(x/3)
What is the phase shift of y = sin(x - π/4)?
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Ï€/4 units to the right
Ï€/4 units to the left
Ï€/2 units to the right
No phase shift
Which graph shows a cosine function with a period of π?
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y = cos(x)
y = cos(2x)
y = cos(x/2)
y = cos(Ï€x)
If the graph of y = tan(x) is shifted π/2 units to the left, what is the new equation?
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y = tan(x + π/2)
y = tan(x - π/2)
y = tan(Ï€/2x)
y = tan(x) + π/2
What is the maximum value of y = 2sin(x) - 1?
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2
1
3
Describe the transformation applied to the parent function y = sin(x) to obtain y = -sin(x + π/2).
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At what x-value does y = cos(x) achieve its minimum between 0 and 2Ï€?
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Which trigonometric function is an odd function?
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Sine
Cosine
Both
Neither
Which equation has a vertical shift upward by 2 units?
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y = sin(x) + 2
y = 2sin(x)
y = sin(x - 2)
y = sin(2x)
Briefly explain how to determine the period of a trigonometric function y = a sin(bx + c) + d.
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