Question

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

Answer 1

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]}