What is the amplitude, period, and phase shift of f(x) = −2 sin(3x − π) − 1?

Question

What is the amplitude, period, and phase shift of f(x) = −2 sin(3x − π) − 1?

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Adalynn 2 weeks 2021-10-11T23:27:29+00:00 1 Answer 0

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    2021-10-11T23:29:09+00:00

    Answer:

    see explanation

    Step-by-step explanation:

    The standard form of the sine wave function is

    y = a sin (bx + c) + d

    where amplitude = | a |, period = \frac{2\pi }{b}

    phase shift = – \frac{c}{b} and d is the vertical shift

    Here a = – 2, b = 3 and c = – π

    Hence

    amplitude = | – 2 | = 2

    period = \frac{2\pi }{3} and

    phase shift = – \frac{-\pi }{3} = \frac{\pi }{3}

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