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Chapter 6: Q. 100 (page 412)

Explain how you would scale the x-axis and y-axis before graphing y=3cos蟺虫.

Short Answer

Expert verified

The x-axis will be scaled with multiple of 12units from the origin.

The y-axis will be scaled with multiple of3units from origin.

Step by step solution

01

Step 1. Concept used

If 蝇>0, then the amplitude and period of role="math" localid="1646470212536" y=Acos蝇xare given by

Amplitude=A

Period=2蟺蝇

02

Step 2. Find the amplitude and period

Comparing the equation y=3cos蟺虫to y=Acos(蝇x)we find

A=3蝇=蟺

So the amplitude is given as

A=3=3

and the period is given as

2蟺蝇=2蟺蟺=2

03

Step 3. Find the scale

As the amplitude of the function is 3so the yaxis will be scaled with the multiple of 3units from the origin.

The period of the function is 2so the xaxis will be scaled with the multiple of 12units from the origin.

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