Precalculus Examples

$y = - | x |$

Step 1

To find the $x$ coordinate of the vertex, set the inside of the absolute value $x$ equal to $0$ . In this case, $x = 0$ .

$x = 0$

Step 2

Replace the variable $x$ with $0$ in the expression.

$y = - | 0 |$

Step 3

Simplify $- | 0 |$ .

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Step 3.1

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

$y = - 0$

Step 3.2

Multiply $- 1$ by $0$ .

$y = 0$

Step 4

The absolute value vertex is $(0, 0)$ .

$(0, 0)$

Step 5