# How do you graph y=1/3absx?

Oct 15, 2016

Graph an absolute value function with a slope of $\pm \frac{1}{3}$.

#### Explanation:

The "parent function" of $y = \frac{1}{3} \left\mid x \right\mid$
is the absolute value equation $y = \textcolor{red}{1} \left\mid x \right\mid$.

It has a "V-shape" with a vertex at $\left(0 , 0\right)$.
The slope of the lines that form the V are $\textcolor{red}{\pm 1}$.

graph{abs(x) [-10, 10, -5, 5]}

The fraction $\textcolor{red}{\frac{1}{3}}$ represents the slopes $\textcolor{red}{\pm \frac{1}{3}}$ of the lines that form the "V" of $y = \textcolor{red}{\frac{1}{3}} \left\mid x \right\mid$.

graph{1/3absx [-10, 10, -5, 5]}