For the following graph, state the amplitude, period, and vertical shift. Then: For females: find the phase shift and write an equation for a cosine curve For males: write an equation of a curve using a phase shift of zero (0). AA 4. 6 8 10

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.5: Trigonometric Graphs
Problem 6E
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Question 5
For the following graph, state the amplitude, period, and vertical shift. Then:
For females: find the phase shift and write an equation for a cosine curve
For males: write an equation of a curve using a phase shift of zero (0).
AA
-2
4.
6 8 10 X
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Transcribed Image Text:Question 5 For the following graph, state the amplitude, period, and vertical shift. Then: For females: find the phase shift and write an equation for a cosine curve For males: write an equation of a curve using a phase shift of zero (0). AA -2 4. 6 8 10 X Edit View Insert Format Tools Table 12pt v Paragraph Y
Expert Solution
Step 1

Amplitude is the vertical distance between the midline and one of the maximum or minimum points. We can measure the height from highest to lowest point divide by 2.

Period is the distance between two consecutive maximum points, or two consecutive minimum points.

Consider the graph:

Amplitude, a=maximumminimum2=552=102=5Period,b=2πDistance between two maximums/or minimums=2π0+8=2π8=π4Phase shift, c=0Vertical shift, d=0

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