EBK PRECALCULUS W/LIMITS
EBK PRECALCULUS W/LIMITS
3rd Edition
ISBN: 9781285607160
Author: Larson
Publisher: CENGAGE CO
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Question
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Chapter 1.7, Problem 27E

(a)

To determine

In Exercises 21−46, g is related to one of the parent functions described in Section 1.6.

(a) Identify the parent function  f

(b) Describe the sequence of transformations from f to g

(c) Sketch the graph of g 

(d) Use function notation to write g in terms of f

27. g(x)=2(x+5)2

Identify the parent function  f

(a)

Expert Solution
Check Mark

Answer to Problem 27E

The Parent function is f(x)=x2

Explanation of Solution

Given:

  g(x)=2(x+5)2

Concept Used:

A Parent function is the function in the simplest form possible for a given family of functions that tends to preserve the properties and definition of the entire family.

Conclusion:

The Parent function is f(x)=x2

(b)

To determine

Describe the sequence of transformations from f to g

(b)

Expert Solution
Check Mark

Answer to Problem 27E

The shape of  f(x)=x2 , but shifted to the left by 5 units and reflected upon x-axis and the shifted upwards by 2 units.

Explanation of Solution

Given:

  g(x)=2(x+5)2

  and

  f(x)=x2

Concept Used:

The sequence of transformations from f to g depicts the steps followed and the transformations used to reach from the Parent function f to  g .

Conclusion:

The shape of  f(x)=x2 , but shifted to the left by 5 units and reflected upon x-axis and the shifted upwards by 2 units is the required sequence of transformations from f to  g .

(c)

To determine

Sketch the graph of  g .

(c)

Expert Solution
Check Mark

Answer to Problem 27E

  EBK PRECALCULUS W/LIMITS, Chapter 1.7, Problem 27E

Explanation of Solution

Given:

  g(x)=2(x+5)2

Concept Used:

We used the sequence of transformations to the plot the above graph.

Conclusion:

We thus obtain the graph for  g(x)=2(x+5)2

(d)

To determine

Use function notation to write g in terms of f

(d)

Expert Solution
Check Mark

Answer to Problem 27E

  g(x)=2f(x+5)

Explanation of Solution

Given:

  g(x)=2(x+5)2

  and

  f(x)=x2

Conclusion:

  g(x)=2f(x+5)

Chapter 1 Solutions

EBK PRECALCULUS W/LIMITS

Ch. 1.1 - Prob. 11ECh. 1.1 - Prob. 12ECh. 1.1 - Prob. 13ECh. 1.1 - Prob. 14ECh. 1.1 - Prob. 15ECh. 1.1 - Prob. 16ECh. 1.1 - Prob. 17ECh. 1.1 - Prob. 18ECh. 1.1 - Prob. 19ECh. 1.1 - Prob. 20ECh. 1.1 - Prob. 21ECh. 1.1 - Prob. 22ECh. 1.1 - Prob. 23ECh. 1.1 - Prob. 24ECh. 1.1 - Prob. 25ECh. 1.1 - Prob. 26ECh. 1.1 - Prob. 27ECh. 1.1 - Prob. 28ECh. 1.1 - Prob. 29ECh. 1.1 - Prob. 30ECh. 1.1 - Prob. 31ECh. 1.1 - Prob. 32ECh. 1.1 - Prob. 33ECh. 1.1 - Prob. 34ECh. 1.1 - Prob. 35ECh. 1.1 - Prob. 36ECh. 1.1 - Prob. 37ECh. 1.1 - Prob. 38ECh. 1.1 - Prob. 39ECh. 1.1 - Prob. 40ECh. 1.1 - Prob. 41ECh. 1.1 - Prob. 42ECh. 1.1 - Prob. 43ECh. 1.1 - Prob. 44ECh. 1.1 - Prob. 45ECh. 1.1 - Prob. 46ECh. 1.1 - Prob. 47ECh. 1.1 - Prob. 48ECh. 1.1 - Prob. 49ECh. 1.1 - Prob. 50ECh. 1.1 - Prob. 51ECh. 1.1 - Prob. 52ECh. 1.1 - Prob. 53ECh. 1.1 - Prob. 54ECh. 1.1 - Prob. 55ECh. 1.1 - Prob. 56ECh. 1.1 - Prob. 57ECh. 1.1 - Prob. 58ECh. 1.1 - Prob. 59ECh. 1.2 - Prob. 1ECh. 1.2 - Prob. 2ECh. 1.2 - Prob. 3ECh. 1.2 - Prob. 4ECh. 1.2 - 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Prob. 23ECh. 1.5 - Prob. 24ECh. 1.5 - Prob. 25ECh. 1.5 - Prob. 26ECh. 1.5 - Prob. 27ECh. 1.5 - Prob. 28ECh. 1.5 - Prob. 29ECh. 1.5 - Prob. 30ECh. 1.5 - Prob. 31ECh. 1.5 - Prob. 32ECh. 1.5 - Prob. 33ECh. 1.5 - Prob. 34ECh. 1.5 - Prob. 35ECh. 1.5 - Prob. 36ECh. 1.5 - Prob. 37ECh. 1.5 - Prob. 38ECh. 1.5 - Prob. 39ECh. 1.5 - Prob. 40ECh. 1.5 - Prob. 41ECh. 1.5 - Prob. 42ECh. 1.5 - Prob. 43ECh. 1.5 - Prob. 44ECh. 1.5 - Prob. 45ECh. 1.5 - Prob. 46ECh. 1.5 - Prob. 47ECh. 1.5 - Prob. 48ECh. 1.5 - Prob. 49ECh. 1.5 - Prob. 50ECh. 1.5 - Prob. 51ECh. 1.5 - Prob. 52ECh. 1.5 - Prob. 53ECh. 1.5 - Prob. 54ECh. 1.5 - Prob. 55ECh. 1.5 - Prob. 56ECh. 1.5 - Prob. 57ECh. 1.5 - Prob. 58ECh. 1.5 - Prob. 59ECh. 1.5 - Prob. 60ECh. 1.5 - Prob. 61ECh. 1.5 - Prob. 62ECh. 1.5 - Prob. 63ECh. 1.5 - Prob. 64ECh. 1.5 - Prob. 65ECh. 1.5 - Prob. 66ECh. 1.5 - Prob. 67ECh. 1.5 - Prob. 68ECh. 1.5 - Prob. 69ECh. 1.5 - Prob. 70ECh. 1.5 - Prob. 71ECh. 1.5 - Prob. 72ECh. 1.5 - Prob. 73ECh. 1.5 - Prob. 74ECh. 1.5 - Prob. 75ECh. 1.5 - 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Prob. 10ECh. 1.8 - Prob. 11ECh. 1.8 - Prob. 12ECh. 1.8 - Prob. 13ECh. 1.8 - Prob. 14ECh. 1.8 - Prob. 15ECh. 1.8 - Prob. 16ECh. 1.8 - Prob. 17ECh. 1.8 - Prob. 18ECh. 1.8 - Prob. 19ECh. 1.8 - Prob. 20ECh. 1.8 - Prob. 21ECh. 1.8 - Prob. 22ECh. 1.8 - Prob. 23ECh. 1.8 - Prob. 24ECh. 1.8 - Prob. 25ECh. 1.8 - Prob. 26ECh. 1.8 - Prob. 27ECh. 1.8 - Prob. 28ECh. 1.8 - Prob. 29ECh. 1.8 - Prob. 30ECh. 1.8 - Prob. 31ECh. 1.8 - Prob. 32ECh. 1.8 - Prob. 33ECh. 1.8 - Prob. 34ECh. 1.8 - Prob. 35ECh. 1.8 - Prob. 36ECh. 1.8 - Prob. 37ECh. 1.8 - Prob. 38ECh. 1.8 - Prob. 39ECh. 1.8 - Prob. 40ECh. 1.8 - Prob. 41ECh. 1.8 - Prob. 42ECh. 1.8 - Prob. 43ECh. 1.8 - Prob. 44ECh. 1.8 - Prob. 45ECh. 1.8 - Prob. 46ECh. 1.8 - Prob. 47ECh. 1.8 - Prob. 48ECh. 1.8 - Prob. 49ECh. 1.8 - Prob. 50ECh. 1.8 - Prob. 51ECh. 1.8 - Prob. 52ECh. 1.8 - Prob. 53ECh. 1.8 - Prob. 54ECh. 1.8 - Prob. 55ECh. 1.8 - Prob. 56ECh. 1.8 - Prob. 57ECh. 1.8 - Prob. 58ECh. 1.8 - Prob. 59ECh. 1.8 - Prob. 60ECh. 1.8 - Prob. 61ECh. 1.8 - Prob. 62ECh. 1.8 - Prob. 63ECh. 1.8 - Prob. 64ECh. 1.8 - Prob. 65ECh. 1.8 - Prob. 66ECh. 1.8 - Prob. 67ECh. 1.8 - Prob. 68ECh. 1.8 - Prob. 69ECh. 1.8 - Prob. 70ECh. 1.9 - Prob. 1ECh. 1.9 - Prob. 2ECh. 1.9 - Prob. 3ECh. 1.9 - Prob. 4ECh. 1.9 - Prob. 5ECh. 1.9 - Prob. 6ECh. 1.9 - Prob. 7ECh. 1.9 - Prob. 8ECh. 1.9 - Prob. 9ECh. 1.9 - Prob. 10ECh. 1.9 - Prob. 11ECh. 1.9 - Prob. 12ECh. 1.9 - Prob. 13ECh. 1.9 - Prob. 14ECh. 1.9 - Prob. 15ECh. 1.9 - Prob. 16ECh. 1.9 - Prob. 17ECh. 1.9 - Prob. 18ECh. 1.9 - Prob. 19ECh. 1.9 - Prob. 20ECh. 1.9 - Prob. 21ECh. 1.9 - Prob. 22ECh. 1.9 - Prob. 23ECh. 1.9 - Prob. 24ECh. 1.9 - Prob. 25ECh. 1.9 - Prob. 26ECh. 1.9 - Prob. 27ECh. 1.9 - Prob. 28ECh. 1.9 - Prob. 29ECh. 1.9 - Prob. 30ECh. 1.9 - Prob. 31ECh. 1.9 - Prob. 32ECh. 1.9 - Prob. 33ECh. 1.9 - Prob. 34ECh. 1.9 - Prob. 35ECh. 1.9 - Prob. 36ECh. 1.9 - Prob. 37ECh. 1.9 - Prob. 38ECh. 1.9 - Prob. 39ECh. 1.9 - Prob. 40ECh. 1.9 - Prob. 41ECh. 1.9 - Prob. 42ECh. 1.9 - Prob. 43ECh. 1.9 - Prob. 44ECh. 1.9 - Prob. 45ECh. 1.9 - Prob. 46ECh. 1.9 - Prob. 47ECh. 1.9 - Prob. 48ECh. 1.9 - Prob. 49ECh. 1.9 - Prob. 50ECh. 1.9 - Prob. 51ECh. 1.9 - Prob. 52ECh. 1.9 - Prob. 53ECh. 1.9 - Prob. 54ECh. 1.9 - Prob. 55ECh. 1.9 - Prob. 56ECh. 1.9 - Prob. 57ECh. 1.9 - Prob. 58ECh. 1.9 - Prob. 59ECh. 1.9 - Prob. 60ECh. 1.9 - Prob. 61ECh. 1.9 - Prob. 62ECh. 1.9 - Prob. 63ECh. 1.9 - Prob. 64ECh. 1.9 - Prob. 65ECh. 1.9 - Prob. 66ECh. 1.9 - Prob. 67ECh. 1.9 - Prob. 68ECh. 1.9 - Prob. 69ECh. 1.9 - Prob. 70ECh. 1.9 - Prob. 71ECh. 1.9 - Prob. 72ECh. 1.9 - Prob. 73ECh. 1.9 - Prob. 74ECh. 1.9 - Prob. 75ECh. 1.9 - Prob. 76ECh. 1.9 - Prob. 77ECh. 1.9 - Prob. 78ECh. 1.9 - Prob. 79ECh. 1.9 - Prob. 80ECh. 1.9 - Prob. 81ECh. 1.9 - Prob. 82ECh. 1.9 - Prob. 83ECh. 1.9 - Prob. 84ECh. 1.9 - Prob. 85ECh. 1.9 - Prob. 86ECh. 1.9 - Prob. 87ECh. 1.9 - Prob. 88ECh. 1.9 - Prob. 89ECh. 1.9 - Prob. 90ECh. 1.9 - Prob. 91ECh. 1.9 - Prob. 92ECh. 1.9 - Prob. 93ECh. 1.9 - Prob. 94ECh. 1.9 - Prob. 95ECh. 1.9 - Prob. 96ECh. 1.9 - Prob. 97ECh. 1.9 - Prob. 98ECh. 1.9 - Prob. 99ECh. 1.9 - Prob. 100ECh. 1.9 - Prob. 101ECh. 1.9 - Prob. 102ECh. 1.9 - Prob. 103ECh. 1.9 - Prob. 104ECh. 1.9 - Prob. 105ECh. 1.9 - Prob. 106ECh. 1.10 - Prob. 1ECh. 1.10 - Prob. 2ECh. 1.10 - Prob. 3ECh. 1.10 - Prob. 4ECh. 1.10 - Prob. 5ECh. 1.10 - Prob. 6ECh. 1.10 - Prob. 7ECh. 1.10 - Prob. 8ECh. 1.10 - Prob. 9ECh. 1.10 - Prob. 10ECh. 1.10 - Prob. 11ECh. 1.10 - Prob. 12ECh. 1.10 - Prob. 13ECh. 1.10 - Prob. 14ECh. 1.10 - Prob. 15ECh. 1.10 - Prob. 16ECh. 1.10 - Prob. 17ECh. 1.10 - Prob. 18ECh. 1.10 - Prob. 19ECh. 1.10 - Prob. 20ECh. 1.10 - Prob. 21ECh. 1.10 - Prob. 22ECh. 1.10 - Prob. 23ECh. 1.10 - Prob. 24ECh. 1.10 - Prob. 25ECh. 1.10 - Prob. 26ECh. 1.10 - Prob. 27ECh. 1.10 - Prob. 28ECh. 1.10 - Prob. 29ECh. 1.10 - Prob. 30ECh. 1.10 - Prob. 31ECh. 1.10 - Prob. 32ECh. 1.10 - Prob. 33ECh. 1.10 - Prob. 34ECh. 1.10 - Prob. 35ECh. 1.10 - Prob. 36ECh. 1.10 - Prob. 37ECh. 1.10 - Prob. 38ECh. 1.10 - Prob. 39ECh. 1.10 - Prob. 40ECh. 1.10 - Prob. 41ECh. 1.10 - Prob. 42ECh. 1.10 - Prob. 43ECh. 1.10 - Prob. 44ECh. 1.10 - Prob. 45ECh. 1.10 - Prob. 46ECh. 1.10 - Prob. 47ECh. 1.10 - Prob. 48ECh. 1.10 - Prob. 49ECh. 1.10 - Prob. 50ECh. 1.10 - Prob. 51ECh. 1.10 - Prob. 52ECh. 1.10 - Prob. 53ECh. 1.10 - Prob. 54ECh. 1.10 - Prob. 55ECh. 1.10 - Prob. 56ECh. 1.10 - Prob. 57ECh. 1.10 - Prob. 58ECh. 1.10 - Prob. 59ECh. 1.10 - Prob. 60ECh. 1.10 - Prob. 61ECh. 1.10 - Prob. 62ECh. 1.10 - Prob. 63ECh. 1.10 - Prob. 64ECh. 1.10 - Prob. 65ECh. 1.10 - Prob. 66ECh. 1.10 - Prob. 67ECh. 1.10 - Prob. 68ECh. 1.10 - Prob. 69ECh. 1.10 - Prob. 70ECh. 1.10 - Prob. 71ECh. 1.10 - Prob. 72ECh. 1.10 - Prob. 73ECh. 1.10 - Prob. 74ECh. 1.10 - Prob. 75ECh. 1.10 - Prob. 76ECh. 1.10 - Prob. 77ECh. 1.10 - Prob. 78ECh. 1.10 - Prob. 79ECh. 1.10 - Prob. 80ECh. 1 - Prob. 1RECh. 1 - Prob. 2RECh. 1 - Prob. 3RECh. 1 - Prob. 4RECh. 1 - Prob. 5RECh. 1 - Prob. 6RECh. 1 - Prob. 7RECh. 1 - Prob. 8RECh. 1 - Prob. 9RECh. 1 - Prob. 10RECh. 1 - Prob. 11RECh. 1 - Prob. 12RECh. 1 - Prob. 13RECh. 1 - Prob. 14RECh. 1 - Prob. 15RECh. 1 - Prob. 16RECh. 1 - Prob. 17RECh. 1 - Prob. 18RECh. 1 - Prob. 19RECh. 1 - Prob. 20RECh. 1 - Prob. 21RECh. 1 - Prob. 22RECh. 1 - Prob. 23RECh. 1 - Prob. 24RECh. 1 - Prob. 25RECh. 1 - Prob. 26RECh. 1 - Prob. 27RECh. 1 - Prob. 28RECh. 1 - Prob. 29RECh. 1 - Prob. 30RECh. 1 - Prob. 31RECh. 1 - Prob. 32RECh. 1 - Prob. 33RECh. 1 - Prob. 34RECh. 1 - Prob. 35RECh. 1 - Prob. 36RECh. 1 - Prob. 37RECh. 1 - Prob. 38RECh. 1 - Prob. 39RECh. 1 - Prob. 40RECh. 1 - Prob. 41RECh. 1 - Prob. 42RECh. 1 - Prob. 43RECh. 1 - Prob. 44RECh. 1 - Prob. 45RECh. 1 - Prob. 46RECh. 1 - Prob. 47RECh. 1 - Prob. 48RECh. 1 - Prob. 49RECh. 1 - Prob. 50RECh. 1 - Prob. 51RECh. 1 - Prob. 52RECh. 1 - Prob. 53RECh. 1 - Prob. 54RECh. 1 - Prob. 55RECh. 1 - Prob. 56RECh. 1 - Prob. 57RECh. 1 - Prob. 58RECh. 1 - Prob. 59RECh. 1 - Prob. 60RECh. 1 - Prob. 61RECh. 1 - Prob. 62RECh. 1 - Prob. 63RECh. 1 - Prob. 64RECh. 1 - Prob. 65RECh. 1 - Prob. 66RECh. 1 - Prob. 67RECh. 1 - Prob. 68RECh. 1 - Prob. 69RECh. 1 - Prob. 70RECh. 1 - Prob. 71RECh. 1 - Prob. 72RECh. 1 - Prob. 73RECh. 1 - Prob. 74RECh. 1 - Prob. 75RECh. 1 - Prob. 76RECh. 1 - Prob. 77RECh. 1 - Prob. 78RECh. 1 - Prob. 79RECh. 1 - Prob. 80RECh. 1 - Prob. 81RECh. 1 - Prob. 82RECh. 1 - Prob. 83RECh. 1 - Prob. 84RECh. 1 - Prob. 85RECh. 1 - Prob. 86RECh. 1 - Prob. 87RECh. 1 - Prob. 88RECh. 1 - Prob. 89RECh. 1 - Prob. 90RECh. 1 - Prob. 91RECh. 1 - Prob. 92RECh. 1 - Prob. 93RECh. 1 - Prob. 94RECh. 1 - Prob. 95RECh. 1 - Prob. 96RECh. 1 - Prob. 97RECh. 1 - Prob. 98RECh. 1 - Prob. 99RECh. 1 - Prob. 100RECh. 1 - Prob. 101RECh. 1 - Prob. 102RECh. 1 - Prob. 103RECh. 1 - Prob. 1CTCh. 1 - Prob. 2CTCh. 1 - Prob. 3CTCh. 1 - Prob. 4CTCh. 1 - Prob. 5CTCh. 1 - Prob. 6CTCh. 1 - Prob. 7CTCh. 1 - Prob. 8CTCh. 1 - Prob. 9CTCh. 1 - Prob. 10CTCh. 1 - Prob. 11CTCh. 1 - Prob. 12CTCh. 1 - Prob. 13CTCh. 1 - Prob. 14CTCh. 1 - Prob. 15CTCh. 1 - Prob. 16CTCh. 1 - Prob. 17CTCh. 1 - Prob. 18CTCh. 1 - Prob. 19CTCh. 1 - Prob. 20CTCh. 1 - Prob. 21CTCh. 1 - Prob. 22CTCh. 1 - Prob. 23CTCh. 1 - Prob. 24CTCh. 1 - Prob. 25CTCh. 1 - Prob. 26CTCh. 1 - Prob. 1PSCh. 1 - Prob. 2PSCh. 1 - Prob. 3PSCh. 1 - Prob. 4PSCh. 1 - Prob. 5PSCh. 1 - Prob. 6PSCh. 1 - Prob. 7PSCh. 1 - Prob. 8PSCh. 1 - Prob. 9PSCh. 1 - Prob. 10PSCh. 1 - Prob. 11PSCh. 1 - Prob. 12PSCh. 1 - Prob. 13PSCh. 1 - Prob. 14PSCh. 1 - Prob. 15PS
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