Question

Graph the function r(x)=|x|+5

Answer 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`

Replace the variable x with 0 in the expression.

`y = |0| + 5`

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`

The absolute value vertex is (0, 5).