Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015
Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015
1st Edition
ISBN: 9781680331165
Author: HOUGHTON MIFFLIN HARCOURT
Publisher: Houghton Mifflin Harcourt
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Chapter 9.4, Problem 19E
To determine

To identify: The amplitude and period of the function then graph the function and describe the function of g as a transformation of the graph of its parent function.

Expert Solution & Answer
Check Mark

Answer to Problem 19E

The amplitude is 13 and period is π2 and graph is shown in figure (1).

Explanation of Solution

Given:

The given function is g(x)=13cos4x .

Calculation:

Compare the function g(x)=13cos4x with y=acosb(xh)+k to find amplitude and period of the function.

  a=13Period=2πb=2π4=π2

The horizontal shift is h=0 and vertical shifts is k=0 .

Draw the midline of the graph, y=0 .

Find the intercepts at x=0,π8,π4,3π8,π2 to draw the graph.

  (0,13cos0)=(0,13)(π8,13cosπ2)=(π8,0)(3π8,13cos3π2)=(3π8,0)(π2,13cos2π)=(π2,13)

And,

  (π4,13cosπ)=(π4,13)

Maximum point is (0,13) and minimum point is (π4,13) .

Draw the graph of the function g(x)=13cos4x as follows.

  Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015, Chapter 9.4, Problem 19E

Figure (1)

The graph of g is vertical shrink by 13 , and horizontal shrink by 14 of the graph of f .

Therefore, the amplitude is 13 and period is π2 and graph is shown in figure (1).

Chapter 9 Solutions

Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015

Ch. 9.1 - Prob. 11ECh. 9.1 - Prob. 12ECh. 9.1 - Prob. 13ECh. 9.1 - Prob. 14ECh. 9.1 - Prob. 15ECh. 9.1 - Prob. 16ECh. 9.1 - Prob. 17ECh. 9.1 - Prob. 18ECh. 9.1 - Prob. 19ECh. 9.1 - Prob. 20ECh. 9.1 - Prob. 21ECh. 9.1 - Prob. 22ECh. 9.1 - Prob. 23ECh. 9.1 - Prob. 24ECh. 9.1 - Prob. 25ECh. 9.1 - Prob. 26ECh. 9.1 - Prob. 27ECh. 9.1 - Prob. 28ECh. 9.1 - Prob. 29ECh. 9.1 - Prob. 30ECh. 9.1 - Prob. 31ECh. 9.1 - Prob. 32ECh. 9.1 - Prob. 33ECh. 9.1 - Prob. 34ECh. 9.1 - Prob. 35ECh. 9.1 - Prob. 36ECh. 9.1 - Prob. 37ECh. 9.1 - Prob. 38ECh. 9.1 - Prob. 39ECh. 9.1 - Prob. 40ECh. 9.1 - Prob. 41ECh. 9.1 - Prob. 42ECh. 9.1 - Prob. 43ECh. 9.1 - Prob. 44ECh. 9.1 - Prob. 45ECh. 9.1 - Prob. 46ECh. 9.1 - Prob. 47ECh. 9.1 - Prob. 48ECh. 9.1 - Prob. 49ECh. 9.1 - Prob. 50ECh. 9.1 - Prob. 51ECh. 9.1 - Prob. 52ECh. 9.1 - Prob. 53ECh. 9.1 - Prob. 54ECh. 9.1 - Prob. 55ECh. 9.1 - Prob. 56ECh. 9.1 - Prob. 57ECh. 9.1 - Prob. 58ECh. 9.1 - Prob. 59ECh. 9.2 - Prob. 1ECh. 9.2 - Prob. 2ECh. 9.2 - Prob. 3ECh. 9.2 - Prob. 4ECh. 9.2 - 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