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
Question
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Chapter 9.4, Problem 32E
To determine

To find: The graph for the given function.

Expert Solution & Answer
Check Mark

Answer to Problem 32E

The required graph is shown in Figure 1.

Explanation of Solution

Given:

The given function is g(x)=cos2(xπ) .

Calculation:

Consider the given function is,

  g(x)=sin2(x+π)

Consider the general form is,

  y=asin(xh)+k

From above and from the given function. The amplitude is 1, the period is obtained as,

  2πb=2π2=π

Thus, the vertical shift is k=0 and the horizontal shift is h=π .

Then, determine the five key points as,

First,

  (142πb+h,0)=(142π2π,0)=(5π4,0)

Second,

  (342πb+h,0)=(342π2+π,0)=(7π4,0)

Third, the maximums

  (0+h,a+k)=(π,1+0)=(π,1)

Fourth point the maximum.

  (2πb+h,a+k)=(2π2,1+0)=(2π,1)

Fifth point, the minimum.

  (122πb+h,a+k)=(122π2+π,1+0)=(3π2,1)

From the points, the graph for the function is shown in Figure 1.

  Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015, Chapter 9.4, Problem 32E

Figure 1

Chapter 9 Solutions

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

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