How do you graph $y = |x - 1|$ by plotting points?

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Answer 1 · 2017-04-16T20:22:37

Realize $y = |x-1|$ is actually two functions:
$y = -(x - 1), x <= 1$ " and " $y = x - 1, x >= 1$

Break $y = |x-1|$ into a piecewise functions:

$y = -(x - 1), x <= 1$ " and " $y = x - 1, x >= 1$

$x |""-6|""-4|""-2|" "0|" " 2|" "4|" "6|$
$y |" "7|" "5|" "3|" "1|" " 1|" "3|" "5|$

Plot the points and draw a line between them.
There is a vertex at $(0,1)$

graph{abs(x-1) [-10, 10, -5, 5]}

How do you graph y = |x - 1|y = |x - 1| by plotting points?