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

1 Answer
A. S. Adikesavan
Jul 6, 2016

y>=0The 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. .

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