Algebra Examples

$y = | x - 1 |$

Step 1

To find the

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

$x - 1$ equal to

$0$ . In this case,

$x - 1 = 0$ .

$x - 1 = 0$

Step 2

Add

$1$ to both sides of the equation.

$x = 1$

Step 3

Replace the variable

$x$ with

$1$ in the expression.

$y = | (1) - 1 |$

Step 4

Simplify

$| (1) - 1 |$ .

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Step 4.1

Subtract

$1$ from

$1$ .

$y = | 0 |$

Step 4.2

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

$0$ and

$0$ is

$0$ .

$y = 0$

Step 5

The absolute value vertex is

$(1, 0)$ .

$(1, 0)$

Step 6

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