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Need help on geometry study guudeeach Mark on the y axis is 1 unit

Need help on geometry study guudeeach Mark on the y axis is 1 unit-example-1
User DMulligan
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1 Answer

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Part a.

The amplitude is the height from the center to the peak. We can note there are 8 units between consecutive peaks

Therefore, the midline passes at y=1:

So the amplitude is 4:

Therefore, the answers for part a are:

Midline: y=1

Amplitude: 4 units

Part b.

On the other hand, the period is 2Pi divided by the distance between consecitive peaks, that is,

so we get


Period=(2\pi)/((5\pi)/(4)-(\pi)/(4))

which gives


Period=(2\pi)/(\pi)=2

thererefore, the period is 1 unit

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