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

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Answer 1 · 2016-04-11T11:48:54

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

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

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

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

How do you graph y=|x−1|y=abs( x-1)?