Graph Using a Table of Values y=2|x|

$y = 2 | x |$

Substitute $- 2$ for $x$ and find the result for $y$ .

$y = 2 | - 2 |$

Simplify $2 | - 2 |$ .

The absolute value is the distance between a number and zero. The distance between $- 2$ and $0$ is $2$ .

$y = 2 \cdot 2$

Multiply $2$ by $2$ .

$y = 4$

Substitute $- 1$ for $x$ and find the result for $y$ .

$y = 2 | - 1 |$

Simplify $2 | - 1 |$ .

The absolute value is the distance between a number and zero. The distance between $- 1$ and $0$ is $1$ .

$y = 2 \cdot 1$

Multiply $2$ by $1$ .

$y = 2$

Substitute $0$ for $x$ and find the result for $y$ .

$y = 2 | 0 |$

Simplify $2 | 0 |$ .

The absolute value is the distance between a number and zero. The distance between $0$ and $0$ is $0$ .

$y = 2 \cdot 0$

Multiply $2$ by $0$ .

$y = 0$

Substitute $1$ for $x$ and find the result for $y$ .

$y = 2 | 1 |$

Simplify $2 | 1 |$ .

The absolute value is the distance between a number and zero. The distance between $0$ and $1$ is $1$ .

$y = 2 \cdot 1$

Multiply $2$ by $1$ .

$y = 2$

Substitute $2$ for $x$ and find the result for $y$ .

$y = 2 | 2 |$

Simplify $2 | 2 |$ .

The absolute value is the distance between a number and zero. The distance between $0$ and $2$ is $2$ .

$y = 2 \cdot 2$

Multiply $2$ by $2$ .

$y = 4$

This is a table of possible values to use when graphing the equation.

$\begin{array}{c} x & y \\ - 2 & 4 \\ - 1 & 2 \\ 0 & 0 \\ 1 & 2 \\ 2 & 4 \end{array}$