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sketch a graph and write an equation for a sinusoidal function that has a period of 12 seconds, a maximim height of 8ft and a minimim height of -4 ft. At a time t=0, the function's height is at its highest point.

sketch a graph and write an equation for a sinusoidal function that has a period of 12 seconds a maximim height of 8ft and a minimim height of 4 ft At a time t0 class=

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sqdancefan

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Answer:

  see attached

Step-by-step explanation:

The amplitude of the function is half the difference between the maximum and minimum:

  A = (8 -(-4))/2 = 6

The multiplier of t is (2π)/period, so is ...

  B = (2π)/12 = π/6

The vertical offset is the average of the minimum and the maximum:

  D = (8 +(-4))/2 = 2

The peak is at t=0, so the cosine function is the appropriate choice.

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Then the function is ...

  f(t) = Acos(Bt) +D

  f(t) = 6cos(πt/6) +2

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