BIG IDEAS MATH Algebra 2: Common Core Student Edition 2015
15th Edition
ISBN: 9781608408405
Author: HOUGHTON MIFFLIN HARCOURT
Publisher: Cengage Learning
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Question
Chapter 4, Problem 36CR
To determine
To write: A rule for g .
Expert Solution & Answer
Answer to Problem 36CR
The required rule for g is g(x)=11024(x−3)5+34(x−3)−5 .
Explanation of Solution
Given information:
The graph: f(x)=x5+3x
The factor of the graph g by a horizontal stretch = 4
The translation of the graph f(x) = 3 units right and 5 units down
Calculation:
The given function is f(x)=x5+3x
According to the given stretch and the translation of the graph f(x) , write the function g(x) as:
g(x)=f(14(x−3))g(x)=(14(x−3))5+3(14(x−3))g(x)=11024(x−3)5+34(x−3)
Now, to shift the points 5 units down, subtract 5 from the above function.
g(x)=11024(x−3)5+34(x−3)−5
Hence, the required rule for g is g(x)=11024(x−3)5+34(x−3)−5 .
Chapter 4 Solutions
BIG IDEAS MATH Algebra 2: Common Core Student Edition 2015
Ch. 4.1 - Prob. 1ECh. 4.1 - Prob. 2ECh. 4.1 - Prob. 3ECh. 4.1 - Prob. 4ECh. 4.1 - Prob. 5ECh. 4.1 - Prob. 6ECh. 4.1 - Prob. 7ECh. 4.1 - Prob. 8ECh. 4.1 - Prob. 9ECh. 4.1 - Prob. 10E
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