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MATH

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Determine an equation of a sinusoidal function that has a maximum at (5, 4)
and a minimum at (2, -10).

  • MATH -

    amplitude = (max-min)/2 = 7
    center of wave is at y = (max+min)/2 = -3

    f(x) = 7cos(ax+b) - 3

    since min is at x=2, and the half-period is 5-2 = 3, the period is 6.

    f(x) = -7cos(π/3(x-2))-3

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