# the formula of function g . ### 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 57E
To determine

## To find : the formula of function g .

Expert Solution

The function is g=|x+1|+2 .

### Explanation of Solution

Given information : the function is f=|x| Form the above graph it is observed that the graph of the function of g is the graph of f=|x| shifted 1 unit left and shift 2 unit upward.

Use the definition of horizontal and vertically shifts of graph,

Then for the function of gsubstitute x by (x+1) then add 2 in the function f=|x| .

Hence, the function g=|x+1|+2 .

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