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

Jul 6, 2016

$y \ge 0$The $V \wedge$-like graph for $y = | - 3 x + 2 |$ has vertex at $\left(\frac{2}{3} , 0\right) . y \le 0$. The line of symmetry is x = 2/3. The angle between the raised arms is $2 {\tan}^{- 1} 3$.

#### Explanation:

Obviously, $y \ge 0$..

The given equation is the combined equation for the pair

$y = - 3 x + 2 , x \le \frac{2}{3}$ and

$y = 3 x - 2 , x \ge \frac{2}{3}$

The $V$-like graph for $y = | - 3 x + 2 |$ has vertex at $\left(\frac{2}{3} , 0\right) .$.

The line of symmetry is x = 2/3.

The angle between the raised arms is $2 {\tan}^{- 1} 3$. .