3. A cosine function that has the same graph as y = 2 sin x. 4. A sine function that matches the graph below:

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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II. Create an equation of a sinusoidal function that will satisfy the following:
1. A sine function has an amplitude of 2, and a period of z. No phase shift nor
displacement.
2. A sine function that has a midline of y = 3, a minimum point along the x-axis, a
frequency of /27, and a phase shift of /.
3. A cosine function that has the same graph as y = 2 sin x.
4. A sine function that matches the graph below:
TC
2t'
%3D
1.5
3n2
1514
0-5
-4.5
Transcribed Image Text:II. Create an equation of a sinusoidal function that will satisfy the following: 1. A sine function has an amplitude of 2, and a period of z. No phase shift nor displacement. 2. A sine function that has a midline of y = 3, a minimum point along the x-axis, a frequency of /27, and a phase shift of /. 3. A cosine function that has the same graph as y = 2 sin x. 4. A sine function that matches the graph below: TC 2t' %3D 1.5 3n2 1514 0-5 -4.5
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