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Chapter 6: Q. 12 (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=2cos2蟺虫-4-1

Short Answer

Expert verified

Amplitude, A=2

Time period, T=1

Phase shift=2蟺

The graph of the function is given as:

Step by step solution

01

Step 1.  Find the amplitude, period, and phase shift.     

The general cosine function form is given as :

y=Acos蝇t-蠒+B

Where,

A=Amplitude

T=Time period

localid="1646381270625" 蠒蝇=Phase shift

Comparing the given function with the general function, we get:

Amplitude:

A=2A=2

Time period:

T=2蟺蝇T=2蟺2蟺T=1

Phase shift:

localid="1646381688558" 蠒蝇=42蟺=2蟺

02

Step 2. Graph the function

The graph of the function is given as:

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