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what are the period, phase shift, and vertical shift of y = csc[3(x + 4)] + 6?

Sagot :

The period, phase shift, and vertical shift are; Period is 2π/3, Shift is 4 units to the left and vertical shift is 6 units up.

How to find waveform properties?

We are given the waveform equation as;

csc[3(x + 4)] + 6.

Expanding this gives us;

csc[3x + 12] + 6.

Period = 2π/b

From the given waveform, b = 3. Thus;

Period = 2π/3

Phase shift = -c/b

where c from the given waveform is 12. Thus;

Phase shift = -12/3 = -4

Thus, phase shift is 4 units to the left while vertical shift is 6 units upawrds.

Read more about waveform at; https://brainly.com/question/25699025

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Answer:

option 3 or C

Explanation: