How do you graph $y = 1 + | x - 1 |$ $y = 1 + |x-1|$ ?

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Answer 1 · 2016-07-16T06:36:57

This is the combined equation for

$y = 1 + x - 1 = x$ $y=1+x-1=x$ , for $x \geq 1$ $x>=1$ and

$y = 1 - (x - 1) = - x + 2$ $y=1-(x-1)=-x+2$ , for $x \leq 1$ $x<=1$

So, the the graph is the pair of perpendicular straight lines

$y = x and y = - x + 2$ $y=x and y=-x+2$ , meeting at (1, 1). y=1 bisects the pair.

How do you graph y=1+|x−1|y = 1 + |x-1|?