BIG IDEAS MATH Algebra 2: Common Core Student Edition 2015
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
Check Mark

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)=3x4.

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(x3)=3x4

  f(x3)=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.

  BIG IDEAS MATH Algebra 2: Common Core Student Edition 2015, Chapter 6.4, Problem 46E

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. 11ECh. 6.1 - Prob. 12ECh. 6.1 - Prob. 13ECh. 6.1 - Prob. 14ECh. 6.1 - Prob. 15ECh. 6.1 - Prob. 16ECh. 6.1 - Prob. 17ECh. 6.1 - Prob. 18ECh. 6.1 - Prob. 19ECh. 6.1 - Prob. 20ECh. 6.1 - Prob. 21ECh. 6.1 - Prob. 22ECh. 6.1 - Prob. 23ECh. 6.1 - Prob. 24ECh. 6.1 - Prob. 25ECh. 6.1 - Prob. 26ECh. 6.1 - Prob. 27ECh. 6.1 - Prob. 28ECh. 6.1 - Prob. 29ECh. 6.1 - Prob. 30ECh. 6.1 - Prob. 31ECh. 6.1 - Prob. 32ECh. 6.1 - Prob. 33ECh. 6.1 - Prob. 34ECh. 6.1 - Prob. 35ECh. 6.1 - Prob. 36ECh. 6.1 - Prob. 37ECh. 6.1 - Prob. 38ECh. 6.1 - Prob. 39ECh. 6.1 - Prob. 40ECh. 6.1 - Prob. 41ECh. 6.1 - Prob. 42ECh. 6.1 - Prob. 43ECh. 6.1 - Prob. 44ECh. 6.1 - Prob. 45ECh. 6.1 - Prob. 46ECh. 6.1 - Prob. 47ECh. 6.1 - Prob. 48ECh. 6.1 - Prob. 49ECh. 6.1 - Prob. 50ECh. 6.1 - Prob. 51ECh. 6.1 - Prob. 52ECh. 6.1 - Prob. 53ECh. 6.1 - Prob. 54ECh. 6.1 - Prob. 55ECh. 6.1 - Prob. 56ECh. 6.1 - Prob. 57ECh. 6.1 - Prob. 58ECh. 6.1 - Prob. 59ECh. 6.1 - Prob. 60ECh. 6.2 - Prob. 1ECh. 6.2 - Prob. 2ECh. 6.2 - Prob. 3ECh. 6.2 - 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