What is the vertex of the quadratic function f(x) = (x – 6)(x + 2)?

Placing the quadratic function in standard form, it is found that the vertex is: (2,-16).

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Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

It's vertex is the point

In which

Where

If a<0, the vertex is a maximum point, that is, the maximum value happens at , and it's value is .

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In this question, the function is:

To find the vertex, the function has to be in standard form. Thus:

Which has coefficients .

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Thus, for the vertex:

The vertex of the quadratic function is (2,-16).

A similar problem is given at link

29.5977692753

step-by-step explanation: