Which of the following matches your Sketch the graph of y = 2 + cos graph? a. b. 3n 27 2 2 c. d. 4 6 4 6 2.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter12: Angle Relationships And Transformations
Section12.5: Reflections And Symmetry
Problem 2C
icon
Related questions
Topic Video
Question

Sketch 

Which of the following matches your
Sketch the graph of y = 2 + cos
graph?
a.
b.
3n 27
2
2
c.
d.
4 6
4 6
2.
Transcribed Image Text:Which of the following matches your Sketch the graph of y = 2 + cos graph? a. b. 3n 27 2 2 c. d. 4 6 4 6 2.
Expert Solution
Step 1

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

y=AcosBx+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.

 

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Discrete Probability Distributions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, trigonometry and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning