Find the Vertex y=|x|+2

$y = | x | + 2$

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.

$y = | 0 | + 2$

Step 3

Simplify $| 0 | + 2$ .

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

$y = 0 + 2$

Add $0$ and $2$ .

$y = 2$

Step 4

The absolute value vertex is $(0, 2)$ .

$(0, 2)$

Step 5