How do you graph #y=|-3x+2|#?

1 Answer
Jul 6, 2016

Answer:

#y>=0#The #V^^#-like graph for #y=|-3x+2|# has vertex at #(2/3, 0). y<=0#. The line of symmetry is x = 2/3. The angle between the raised arms is #2 tan^(-1)3#.

Explanation:

Obviously, #y>=0#..

The given equation is the combined equation for the pair

#y=-3x+2, x<=2/3# and

#y=3x-2,x>=2/3#

The #V#-like graph for #y=|-3x+2|# has vertex at #(2/3, 0). #.

The line of symmetry is x = 2/3.

The angle between the raised arms is #2 tan^(-1)3#. .