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Chapter 6: Q. 3 (page 429)

find the amplitude, period, and phase shift of each function. Graph each function. Be sure to label key points. Show at least two periods.

y=4sin(2x-蟺)

Short Answer

Expert verified

For the functiony=4sin(2x-蟺)

Amplitude A=4

Period T=蟺

Phase shift 蠒蝇=蟺2

and graph of the function is

Step by step solution

01

Step 1. Given data

The given function is

y=4sin(2x-蟺)

02

Step 2. Constants of the function

Compare the functiony=4sin(2x-蟺)with general sine function form

y=Asin(蝇x-蠒)+by=4sin(2x-蟺)+0

so Amplitude

A=|4|A=4

Period

T=2蟺蝇T=2蟺2T=蟺

Phase shift

蠒蝇=蟺2

03

Step 3. Graph of function

Plot the graph of the functiony=4sin(2x-蟺)

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Convert each angle in degrees to radians. Express your answer as a multiple of 蟺.

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