# Todescribe how the graph of the function can be obtained from the graph of f ( x ) = x .

### Precalculus: Mathematics for Calcu...

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

### Precalculus: Mathematics for Calcu...

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

#### Solutions

Chapter 2.5, Problem 18E

a.

To determine

## Todescribe how the graph of the function can be obtained from the graph of f(x)=x .

Expert Solution

The graph of g(x)=x+1 is obtained by reflecting the graph of f(x)=x in the x- axis then shift upwardby 1 units.

### Explanation of Solution

Given information :

The function is g(x)=x+1 .

Use the definition of reflecting and vertically shifts of graphs,

When graph of f(x)=x is given, then for function g(x)=x+1 , reflect the graph of f(x)=x in the xaxis then shift upward by 1 units.

b.

To determine

### To describe how the graph of the function can be obtained from the graph of f(x)=x .

Expert Solution

The graph of g(x)=x+1 is obtained by reflecting the graph of f(x)=x in the y- axis then shift upwardby 1 units.

### Explanation of Solution

Given information :

The function is g(x)=x+1 .

Use the definition of reflecting and vertically shifts of graphs,

When graph of f(x)=x is given, then for function g(x)=x+1 , reflect the graph of f(x)=x in the y- axis then shift upward by 1 units.

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