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Verified Answer :

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:

Ordered pair of the vertex is (7,2)

Step-by-step 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)