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

$y = | x + 2 |$

Step 1

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

$y = | (- 2) + 2 |$

Step 2

Simplify $| (- 2) + 2 |$ .

Add $- 2$ and $2$ .

$y = | 0 |$

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

$y = 0$

Step 3

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

$y = | (- 1) + 2 |$

Step 4

Simplify $| (- 1) + 2 |$ .

Add $- 1$ and $2$ .

$y = | 1 |$

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

$y = 1$

Step 5

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

$y = | (0) + 2 |$

Step 6

Simplify $| (0) + 2 |$ .

Add $0$ and $2$ .

$y = | 2 |$

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

$y = 2$

Step 7

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

$y = | (1) + 2 |$

Step 8

Simplify $| (1) + 2 |$ .

Add $1$ and $2$ .

$y = | 3 |$

The absolute value is the distance between a number and zero. The distance between $0$ and $3$ is $3$ .

$y = 3$

Step 9

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

$y = | (2) + 2 |$

Step 10

Simplify $| (2) + 2 |$ .

Add $2$ and $2$ .

$y = | 4 |$

The absolute value is the distance between a number and zero. The distance between $0$ and $4$ is $4$ .

$y = 4$

Step 11

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

$\begin{array}{c} x & y \\ - 2 & 0 \\ - 1 & 1 \\ 0 & 2 \\ 1 & 3 \\ 2 & 4 \end{array}$

Step 12

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

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