BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 2.5, Problem 47E
To determine

To write the equation of the final transformed graph.

Expert Solution

Answer to Problem 47E

The equation of the final transformed graph is g(x)=x+2 .

Explanation of Solution

Given information :

The function is f(x)=x .

Concept used:

If the graph of y=f(x) is shifted horizontalleft by c unit, then the equation of the transformed graph will be g(x)=f(x+c)

The function is given as: f(x)=x

The graph of g(x) is obtained by shifting upward the graph of f(x)=x by 2 units.

Use definition of horizontally shifting of the graph,

Therefore,

The equation of the final transformed graph is obtained as:

  g(x)=f(x+c)

Substitute, f(x)=x and c=2 ,

  g(x)=x+2

Hence,

The equation of the final transformed graph is g(x)=x+2 .

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