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

1 Answer
Jul 28, 2018

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]}