Questions: Find an equation for the graph shown to the right. Type the equation in the form y=A sin (ωx) or y=A cos (ωx). y= (Type an exact answer, using π as needed. Use integers or fractions for any numbers in the expression.)

Find an equation for the graph shown to the right. Type the equation in the form y=A sin (ωx) or y=A cos (ωx). y= (Type an exact answer, using π as needed. Use integers or fractions for any numbers in the expression.)
Transcript text: Find an equation for the graph shown to the right. Type the equation in the form $y=A \sin (\omega x)$ or $y=A \cos (\omega x)$. \[ \mathrm{y}=\square \] (Type an exact answer, using $\pi$ as needed. Use integers or fractions for any numbers in the expression.)
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Solution

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Solution Steps

Step 1: Identify the Form

The function is identified as a sin function based on its starting point and shape.

Step 2: Determine A

The amplitude \(A\) is measured as 1, which is the distance from the midline to a peak or trough.

Step 3: Find \(\omega\)

The angular frequency \(\omega\) is identified with a value of 1, calculated from the period of the function.

Final Answer:

The equation of the graph is y = 1 sin(x).

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