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Find the amplitude, period, and displacement of the function. Graph the function. Show at least one period.
Type the amplitude, period, and displacement of the function.
Amplitude Period Displacement
(Simplify your answer. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.

Ask by Vega Sullivan. in the United States
Jan 19,2025

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Amplitude , Period , Displacement .

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Bonus Knowledge

To analyze the function , let’s break it down:
  • The amplitude is given directly by the coefficient of the sine function, which is . So the amplitude is .
  • The period of a sine function can be found using the formula , where is the coefficient in front of . In this case, , leading to a period of:
  • The displacement, commonly referred to as the horizontal shift, can be determined from the equation in the form . Here, we have , which can be rewritten as . The negative value of the inside indicates a leftward displacement. Thus, the displacement is:
So, to summarize:
Amplitude
Period
Displacement

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