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