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Ludmilka [50]
3 years ago
12

What are the following of this function y = 4sin (2( x -

xFormula1" title="\frac{3\pi }{4}" alt="\frac{3\pi }{4}" align="absmiddle" class="latex-formula"> )) :
amplitude
minimum
maximum
period
phase shift
midline equation
Mathematics
1 answer:
Andrei [34K]3 years ago
6 0

Answer:

See below...

Step-by-step explanation:

For a function whose formula is in this pattern:

y=A\sin\left(B(x-C)\right)

Amplitude: |A|

Period: \frac{2\pi}{B}

Phase Shift:  C

In this question, A=4,\,B=2,\,C=\frac{3\pi}{4}

Amplitude: 4

Period: \frac{2\pi}{2}=\pi

Phase Shift: \frac{3\pi}{4}

There is no vertical shift, so the midline is the x-axis whose equation is y = 0.

Also, because there is no vertical shift, the maximum is 4 and the minimum is -4.

The graph is attached.

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