Graph Using a Table of Values y=|x|+5

$y = | x | + 5$

Step 1

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

$y = | - 2 | + 5$

Step 2

Simplify $| - 2 | + 5$ .

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

$y = 2 + 5$

Add $2$ and $5$ .

$y = 7$

Step 3

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

$y = | - 1 | + 5$

Step 4

Simplify $| - 1 | + 5$ .

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

$y = 1 + 5$

Add $1$ and $5$ .

$y = 6$

Step 5

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

$y = | 0 | + 5$

Step 6

Simplify $| 0 | + 5$ .

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

$y = 0 + 5$

Add $0$ and $5$ .

$y = 5$

Step 7

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

$y = | 1 | + 5$

Step 8

Simplify $| 1 | + 5$ .

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

$y = 1 + 5$

Add $1$ and $5$ .

$y = 6$

Step 9

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

$y = | 2 | + 5$

Step 10

Simplify $| 2 | + 5$ .

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

$y = 2 + 5$

Add $2$ and $5$ .

$y = 7$

Step 11

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

$\begin{array}{c} x & y \\ - 2 & 7 \\ - 1 & 6 \\ 0 & 5 \\ 1 & 6 \\ 2 & 7 \end{array}$

Step 12

Graph Using a Table of Values y=|x|+5

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