Question

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

Answer 1

Answer:

(5, -9)

Step-by-step explanation:

f(x)=(x-8)(x-2)

We want the vertex.  So let us get this in Vertex Form.

f(x)  =  (x - 8)(x - 2) =  x^2 + 16 - 10x

f(x) = x^2 - 10x + 16

f(x) = x^2 -10x  + 25  - 25 + 16

f(x) = (x^2 -10x  + 25)  - 25 + 16

f(x) = (x - 5)^2 - 9

Vertex at  (5, -9)