(a) Answer The graph of g is a vertical stretch of the graph of f when a = 4 , b = 0 , c = 0. Explanation Given: The graph of g ( x ) = a f ( x − b ) + c is the transformation of the graph of linear function f. Calculation: The value or word will be: The graph of g is a vertical stretch of the graph of f when a = 4 , b = 0 , c = 0. (b) To determine The word or value that makes the given statement true. Answer The graph of g is a horizontal translation right of the graph of f when a = 1 , b = 2 , c = 0. Explanation Given: The graph of g ( x ) = a f ( x − b ) + c is the transformation of the graph of linear function f. Calculation: The value or word will be: The graph of g is a horizontal translation right of the graph of f when a = 1 , b = 2 , c = 0. (c) To determine The word or value that makes the given statement true. Answer The graph of g is a vertical translation 1 unit up of the graph of f when a = 1 , b = 0 , c = 1. Explanation Given: The graph of g ( x ) = a f ( x − b ) + c is the transformation of the graph of linear function f. Calculation: The value or word will be: The graph of g is a vertical translation 1 unit up of the graph of f when a = 1 , b = 0 , c = 1.

BIG IDEAS MATH Integrated Math 1: Student Edition 2016

16th Edition

ISBN: 9781680331127

Author: HOUGHTON MIFFLIN HARCOURT

Publisher: Houghton Mifflin Harcourt

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Question

Chapter 3.6, Problem 49E

(a)

To determine

The word or value that makes the given statement true.

(a)

Expert Solution

Answer to Problem 49E

The graph of g is a vertical stretch of the graph of f when a=4,b=0,c=0.

Explanation of Solution

Given:

The graph of g(x)=af(x−b)+c is the transformation of the graph of linear function f.

BIG IDEAS MATH Integrated Math 1: Student Edition 2016, Chapter 3.6, Problem 49E , additional homework tip 1

Calculation:

The value or word will be:

The graph of g is a vertical stretch of the graph of f when a=4,b=0,c=0.

(b)

To determine

The word or value that makes the given statement true.

(b)

Expert Solution

Answer to Problem 49E

The graph of g is a horizontal translation right of the graph of f when a=1,b=2,c=0.

Explanation of Solution

Given:

The graph of g(x)=af(x−b)+c is the transformation of the graph of linear function f.

BIG IDEAS MATH Integrated Math 1: Student Edition 2016, Chapter 3.6, Problem 49E , additional homework tip 2

Calculation:

The value or word will be:

The graph of g is a horizontal translation right of the graph of f when a=1,b=2,c=0.

(c)

To determine

The word or value that makes the given statement true.

(c)

Expert Solution

Answer to Problem 49E

The graph of g is a vertical translation 1 unit up of the graph of f when a=1,b=0,c=1.

Explanation of Solution

Given:

The graph of g(x)=af(x−b)+c is the transformation of the graph of linear function f.

BIG IDEAS MATH Integrated Math 1: Student Edition 2016, Chapter 3.6, Problem 49E , additional homework tip 3

Calculation:

The value or word will be:

The graph of g is a vertical translation 1 unit up of the graph of f when a=1,b=0,c=1.

Chapter 3.6, Problem 48E

Chapter 3.6, Problem 50E

Chapter 3 Solutions

BIG IDEAS MATH Integrated Math 1: Student Edition 2016

Ch. 3.1 - Prob. 1E Ch. 3.1 - Prob. 2E Ch. 3.1 - Prob. 3E Ch. 3.1 - Prob. 4E Ch. 3.1 - Prob. 5E Ch. 3.1 - Prob. 6E Ch. 3.1 - Prob. 7E Ch. 3.1 - Prob. 8E Ch. 3.1 - Prob. 9E Ch. 3.1 - Prob. 10E

Ch. 3.1 - Prob. 11E Ch. 3.1 - Prob. 12E Ch. 3.1 - Prob. 13E Ch. 3.1 - Prob. 14E Ch. 3.1 - Prob. 15E Ch. 3.1 - Prob. 16E Ch. 3.1 - Prob. 17E Ch. 3.1 - Prob. 18E Ch. 3.1 - Prob. 19E Ch. 3.1 - Prob. 20E Ch. 3.1 - Prob. 21E Ch. 3.1 - Prob. 22E Ch. 3.1 - Prob. 23E Ch. 3.1 - Prob. 24E Ch. 3.1 - Prob. 25E Ch. 3.1 - Prob. 26E Ch. 3.1 - Prob. 27E Ch. 3.1 - Prob. 28E Ch. 3.1 - Prob. 29E Ch. 3.1 - Prob. 30E Ch. 3.1 - Prob. 31E Ch. 3.1 - Prob. 32E Ch. 3.1 - Prob. 33E Ch. 3.1 - Prob. 34E Ch. 3.1 - Prob. 35E Ch. 3.1 - Prob. 36E Ch. 3.1 - Prob. 37E Ch. 3.1 - Prob. 38E Ch. 3.1 - Prob. 39E Ch. 3.1 - Prob. 40E Ch. 3.1 - Prob. 41E Ch. 3.1 - Prob. 42E Ch. 3.1 - Prob. 43E Ch. 3.1 - Prob. 44E Ch. 3.1 - Prob. 45E Ch. 3.1 - Prob. 46E Ch. 3.1 - Prob. 47E Ch. 3.1 - Prob. 48E Ch. 3.1 - Prob. 49E Ch. 3.1 - Prob. 50E Ch. 3.1 - Prob. 51E Ch. 3.2 - Prob. 1E Ch. 3.2 - Prob. 2E Ch. 3.2 - Prob. 3E Ch. 3.2 - Prob. 4E Ch. 3.2 - Prob. 5E Ch. 3.2 - Prob. 6E Ch. 3.2 - Prob. 7E Ch. 3.2 - Prob. 8E Ch. 3.2 - Prob. 9E Ch. 3.2 - 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