Question

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

Answer 1

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

Explanation:

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]}