Examples

y = | x + 2 |

$y = | x + 2 |$

Step 1

To find the

x

$x$ coordinate of the vertex, set the inside of the absolute value

x + 2

$x + 2$ equal to

0

$0$ . In this case,

x + 2 = 0

$x + 2 = 0$ .

x + 2 = 0

$x + 2 = 0$

Step 2

Subtract

2

$2$ from both sides of the equation.

x = - 2

$x = - 2$

Step 3

Replace the variable

x

$x$ with

- 2

$- 2$ in the expression.

y = | (- 2) + 2 |

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

Step 4

Simplify

| (- 2) + 2 |

$| (- 2) + 2 |$ .

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Step 4.1

Add

- 2

$- 2$ and

2

$2$ .

y = | 0 |

$y = | 0 |$

Step 4.2

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

0

$0$ and

0

$0$ is

0

$0$ .

y = 0

$y = 0$

y = 0

$y = 0$

Step 5

The absolute value vertex is

(- 2, 0)

$(- 2, 0)$ .

(- 2, 0)

$(- 2, 0)$

Step 6

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