Question

Which ordered pair is the vertex of y=-2|x-7|+2

(7, –2)
(7, 2)
(–2, –7)
(–7, –2)

Answer 1

The vertex here is the point such that

`|x-7|=0`
⇒
`x-7=0`
⇒
`x=7`

Plug into
`y`:

`y=-2|7-7|+2`
⇒
`y=-2(0)+2`
⇒
`y=2`

So the vertex is
`(7, 2)`

Answer 2

Ordered pair of the vertex is (7,2)

Explanation:

y=-2|x-7|+2

`y=-2|x-7|+2`

General form of absolute function is

`y=a|x-h|+k`, where (h,k) is the vertex

`y=-2|x-7|+2`

from the given equation the value of h= 7 and k =2

So the vertex (h,k) becomes (7,2)