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30 August, 12:54

Write an equation for a function with the given characteristics. A cosine curve with a period of pi, and amplitude of 1, a left phase shift of pi, and vertical transiation up 5/2 of a unit.

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  1. 30 August, 16:15
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    y = cos (2x + 2π) - 5/2

    Step-by-step explanation:

    y = a cos (bx + c) + d

    a = Amplitude = 1

    period = 2π/b = π

    b = 2

    phase shift c/b = π

    c/2 = π

    c = 2π

    vertical translation = 5/2 units

    d = - 5/2 downwards

    therefore substituting the values

    y=1 cos (2x + 2π) - 5/2

    y = cos (2x + 2π) - 5/2; equation for the function
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