Given that f(x) = −3 cos(πx − 2) + 1, find the following quantities: (a) The Amplitude. (b) The Period. (c) The Phase Shift. (d) One Cycle of the Graph.
Given that f(x) = −3 cos(πx − 2) + 1, find the following quantities: (a) The Amplitude. (b) The Period. (c) The Phase Shift. (d) One Cycle of the Graph.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.5: Trigonometric Graphs
Problem 29E
Related questions
Question
Given that f(x) = −3 cos(πx − 2) + 1, find the following quantities: (a) The Amplitude. (b) The Period. (c) The Phase Shift. (d) One Cycle of the Graph.
Expert Solution
Step 1
Consider the given function .
Note that, the general form of the cos function is .
Where,
Step 2
Compare the given equation with .
Here, .
(a) Obtain the amplitude as follows.
(b) Obtain the period as follows.
Step by step
Solved in 3 steps with 1 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning