Question

How do you graph `y = |-3x|` using a table of values?

Answer 1

Refer to the explanation.

Explanation:

Graph:

`y=abs(-3x)`

`color(white)(.)color(red)xcolor(white)(..) | color(blue)y=abs(-3x)`
`-------`
`color(red)(-2)color(white)(..)abs(-3*-2)=abs6=color(blue)6`
`color(red)(-1)color(white)(..)abs(-3*-1)=abs3=color(blue)3`
`color(white)(..)color(purple)0color(white)(..)abs(-3*0)color(white)(....)=abs0color(white)()=color(purple)0`
`color(white)(..)color(red)1color(white)(...)abs(-3*1)color(white)(....)=abs(-3)color(white)()=color(blue)3`
`color(white)(..)color(red)2color(white)(...)abs(-3*2)color(white)(....)=abs(-6)=color(white)()color(blue)6`

Plot the points. Draw straight lines through both sets of points, one with `-x` values, and one with `x` values.

graph{y=abs(-3x) [-9.96, 10.04, -3.12, 6.88]}