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ioda
3 years ago
9

What is the vertex of the quadratic function f(x) = (x – 8)(x – 2)?

Mathematics
2 answers:
iren2701 [21]3 years ago
8 0
Yeah they're right. 5, -9
irakobra [83]3 years ago
5 0

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 = -\frac{b}{2a}.

Plugging values

h = -\frac{-10}{2(1)}.

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).

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