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Chapter 6: Q. 14 (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=-3cos-2x+蟺2

Short Answer

Expert verified

Amplitude,A=3

Time period,T=-1

Phase shift=蟺4

The graph 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

2蟺蝇=Time period

蠒蝇=Phase shift

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

Amplitude:

A=-3A=3

Time period:

T=2蟺蝇T=2蟺-2T=-蟺

Phase shift:

蠒蝇=-蟺2-2蠒蝇=蟺4

The graph is given as:

02

Step 2. Graph the function

The graph is given as:

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