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Chapter 6: Q. 7 (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=-3sin2x+蟺2

Short Answer

Expert verified

Amplitude: A=-3

Time period: T=蟺T=蟺

Phase shift: localid="1646365035678" -蟺4

The graph is given as:

Step by step solution

01

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

The general sine function form is given as:

y=Asin蝇t-蠒+B, where

A=Amplitude

Time period,T=2蟺蝇

Phase shift,蠒蝇

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

A=-3

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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Most popular questions from this chapter

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=2cos3x+蟺2

In problems 13-20, Px,yis the point on the unit circle that corresponds to a real number t. Find the exact values of the six trigonometric functions of t.

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Amplitude: 3

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12,-32.

In Problems 4-6convert each angle in radians to degrees.

localid="1646375027881" 4.-蟺8
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