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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Chapter 6.4, Problem 46E
To determine
Describethe transformation of the graph f and then give the equation of the asymptote.
Expert Solution & Answer
Answer to Problem 46E
The graph of the function f(x) is shifted right by 4 units. The required equation of the asymptote is y=0 .
Explanation of Solution
Given information:
The given the function f(x) and the transformed function g(x) are given as f(x)=3x and g(x)=3x−4.
Calculation:
Consider the given function f(x) as f(x)=3x.
It can be seen that the transformed graph g(x) can be obtained by subtracting 4 in the x− coordinate of the function f(x) .
f(x−3)=3x−4
f(x−3)=g(x)
On subtract 4 in the x− coordinate of the function of f(x) , the graph of f(x) is shifted right by 4 units.
The function f(x)=3x has a horizontal asymptote y=0 , as the graph of f(x) is shifted right side by 4 units, the asymptote of the graph has no change due to no change in the y− coordinate. Then the asymptote to the graph of the function g(x) is given as y=0 .
The graph of the function g(x) and its asymptote is given below.
Hence, the equation of the asymptote is y=0 .
Chapter 6 Solutions
BIG IDEAS MATH Algebra 2: Common Core Student Edition 2015
Ch. 6.1 - Prob. 1ECh. 6.1 - Prob. 2ECh. 6.1 - Prob. 3ECh. 6.1 - Prob. 4ECh. 6.1 - Prob. 5ECh. 6.1 - Prob. 6ECh. 6.1 - Prob. 7ECh. 6.1 - Prob. 8ECh. 6.1 - Prob. 9ECh. 6.1 - Prob. 10E
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