Sketch Which of the following matches yourSketch the graph of y = 2 + cosgraph?a.b.3n 2722c.d.4 64 62.

Name: Sketch Which of the following matches yourSketch the graph of y = 2 +
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Description: Sketch Which of the following matches yourSketch the graph of y = 2 + cosgraph?a.b.3n 2722c.d.4 64 62.

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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter7: Exponents And Exponential Functions

Section7.5: Exponential Functions

Problem 47PFA

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Step 1

We have, the general form of a cosine function is given as

$y = A \cos (B x + C) + D$

Where,

The amplitude of a cosine wave is the vertical distance from the middle of the waves to the peaks (or from the middle to the valleys). In the equations above, it is given by |A| .
The period of a cosine wave is the horizontal distance for the wave to do one complete cycle from one peak to the next peak. In the equations above, it is given by (2π/|B|).
The phase shift of a cosine wave is the horizontal distance the wave is shifted from the traditional starting position. In the equations above, it is given by − (C/B).
The vertical shift of a cosine wave is the vertical distance that the middle of the wave is shifted from the x-axis. In the equations above, it is given by D.

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