Using the trig function sin(x) find an equation for the graph of f(x)

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asked Apr 20, 2023 233k views

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Cluster · Answer 1 · 2023-04-27T08:12:01+0000

Answer:

C.

Step-by-step explanation:

We were given the following information:

$\begin{gathered} amplitude=(13)/(2) \\ period=2\pi \\ phase\text{ }shift=0 \\ midline:y=0 \end{gathered}$

We will proceed to derive the sinusoidal equation for this as shown below:

$\begin{gathered} \text{We have the base model to be:} \\ y=sinx \\ \text{Inputting the amplitude into the equation, we have:} \\ y=(13)/(2)sinx \\ \text{Fitting in the period, we have:} \\ For:k>0 \\ y=(13)/(2)sinkx \\ k=2 \\ \text{The equation becomes:} \\ y=(13)/(2)sin2x \\ \text{Since the phase shift is ''0'', the equation of this function is given by:} \\ y=(13)/(2)s\imaginaryI n2x \\ \\ \therefore y=(13)/(2)s\imaginaryI n2x \end{gathered}$

Hence, the correct option is C

Using the trig function sin(x) find an equation for the graph of f(x)-example-1

Using the trig function sin(x) find an equation for the graph of f(x)

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