# How do you graph y=abs( x-1)?

Apr 11, 2016

Graph the function without the absolute value then reflect the negative portion around the x-axis.

#### Explanation:

Perhaps the simplest thing to do is to first graph the function without the absolute value and then see where the graph becomes negative.

$y = x - 1$
graph{x-1 [-10, 10, -5, 5]}
Performing the absolute value is the same as reflecting the negative portion around the x-axis

$y = | x - 1 |$
graph{abs(x-1) [-10, 10, -5, 5]}