Question

Where is the vertex located at?

Answer 1

The vertex of
`f(x) = |x-3| + 6` is
`(x,y) = (3, 6)`.

Explanation:

The vertex of the absolute value function is the point where
`|x-3| = 0`. Hence, the coordinates of the vertex are, respectively:

`x-3 = 0`

`x = 3`

`y = |x-3| + 6`

`y = |3-3|+6`

`y = |0|+6`

`y = 0 + 6`

`y = 6`

The vertex of
`f(x) = |x-3| + 6` is
`(x,y) = (3, 6)`.