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1 vote
What is the vertex of the quadratic function f(x)=(x-6)(x+2)

2 Answers

4 votes
(2,-16) should be the correct answer..
answered
User Martin Drapeau
by
8.0k points
0 votes

For this case we have the following function:


image

We rewrite the function making distributive property.

We have then:


image

To find the vertex of the function, we derive:


image

We equal zero and clear the value of x:


image


image

We evaluate the function for the value of x obtained:


image

Then, the vertice of the parabola is:


image

Answer:

the vertex of the quadratic function f(x)=(x-6)(x+2) is:


(x, y) = (2, -16)

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