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Answer:
Vertex (5 ,-9)
Step-by-step explanation:
Given : Function f(x) = (x – 8)(x – 2).
To find : What is the vertex of the quadratic function .
Solution : We have given that f(x) = (x – 8)(x – 2).
On removing parenthesis
f(x) = x²-2x -8x +16.
f(x) = x²-10x +16.
We need to find vertex of this function ,
Vertex: (h, k)
h = -.
Plugging values
h = -.
h = 5 this is the x- coordinate,
Now , we will plug x= 5 in quadratic function .
k = (5)²-10(5)+16.
k = 25-50 + 16
k= -9.
Vertex (5 ,-9)
Therefore, Vertex (5 ,-9).