Question

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Changes in Amplitude Quick Check
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Question
Use the table to answer the question.

This table shows the x and y-values required to form an equation.
x 0 π2
π
3π2
2π

y 0 34
0 −34
0
Write the equation of the periodic function based on the table.

(1 point)
Responses

y=34sinx

y equals Start Fraction 3 over 4 End Fraction sine x

y=34cosx

y equals Start Fraction 3 over 4 End Fraction cosine x

y=−34sinx

y equals negative Start Fraction 3 over 4 End Fraction sine x

y=32sinx

y equals Start Fraction 3 over 2 End Fraction sine x
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Answer 1

y = (3/4) sin x

Explanation: sin x gives values 0, 1, 0, −1, 0 at x = 0, π/2, π, 3π/2, 2π. Scaling by 3/4 produces 0, 3/4, 0, −3/4, 0, matching the table.