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QUESTION IMAGE

for a sinusoidal function in the form ( y = a sin(bx - c) + d ), what d…

Question

for a sinusoidal function in the form ( y = a sin(bx - c) + d ), what does the ( b ) help us determine?
period
phase shift
midline
amplitude

Explanation:

Brief Explanations

For the sinusoidal function \(y = A\sin(Bx - C)+D\), the formula for the period \(T\) is \(T=\frac{2\pi}{|B|}\). The phase - shift is given by \(\frac{C}{B}\), the mid - line is \(y = D\), and the amplitude is \(|A|\). So \(B\) is used in the formula for calculating the period.

Answer:

Period