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100 Points! State the amplitude, period, and phase shift for each function. Then graph the function. Photo attached. Thank you!

100 Points! State the amplitude, period, and phase shift for each function. Then graph-example-1
User Sepster
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1 Answer

6 votes

hello

the answer to the question is:

y = a tan(bx – c) + d

a = 1, b = 1, c = π/2

the midline is y = d, so y = 0 and there's no vertical shift

the vertical stretch is 1, so label the y-axis so the inflection point of the curve is 1 above the midline, 1, and the other inflection point is 1 below the midline, −1

the period is:

T = π/b ----> T = π

the phase shift is:

PS = c/b ----> PS = π/2

and also, there's no amplitude for tangent and cotangent, there is only the vertical stretch that takes the place of an amplitude

100 Points! State the amplitude, period, and phase shift for each function. Then graph-example-1
User Luison
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8.3k points

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