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Chapter 6: Q. 8 (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=-2cos2x-蟺2

Short Answer

Expert verified

Amplitude: A=2

Time period: T=蟺

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:

A=-2=2

Time period,

T=2蟺蝇T=2蟺2T=蟺

Phase Shift:

蠒蝇=蟺22=蟺4

02

Step 2. Graph the function 

The graph is given as:

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