Respuesta :

The vertex here is the point such that
[tex]|x-7|=0[/tex]
⇒[tex]x-7=0[/tex]
⇒[tex]x=7[/tex]

Plug into [tex]y[/tex]:
[tex]y=-2|7-7|+2[/tex]
⇒[tex]y=-2(0)+2[/tex]
⇒[tex]y=2[/tex]

So the vertex is [tex](7, 2)[/tex]

Answer:

Ordered pair of the vertex is (7,2)

Step-by-step explanation:

y=-2|x-7|+2

[tex]y=-2|x-7|+2[/tex]

General form of absolute function is

[tex]y=a|x-h|+k[/tex], where (h,k) is the vertex

[tex]y=-2|x-7|+2[/tex]

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

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