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lbvjy [14]
3 years ago
9

13. Write an equation for the given function given the amplitude, period, phase shift, and vertical shift.

Mathematics
1 answer:
aev [14]3 years ago
8 0

Answer:

y=4sin(\frac{\pi}{2} x+\pi)-2

Step-by-step explanation:

The equation of a periodic  function is in the form:

y = Asin(Bx + C) + D

Where A = amplitude, B = 2π / period, D = vertical shift, phase shift = -C / B.

Given that:

amplitude: 4, period 4 phase shift = vertical shift = -2

Hence:

A = amplitude = 4, B = 2π / period = 2π / 4 = π / 2, D = vertical shift = -2.

Phase shift = -C / B

C = -phase shift * B = - * -2 * π / 2 = π.

Therefore substituting gives:

y=4sin(\frac{\pi}{2} x+\pi)-2

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