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

the coordinates of the vertex are: (2.5, -24.5)

Step-by-step explanation:

Recall that when we have a quadratic in its standard form:

the position of the x-coordinate for the vertex can be obtained via:

Then in order to find the vertex, first we write the expression in standard form:

Now that we have the values for the parameters "" and "b" we find the x of the vertex:

Now we use this x-value in the function to find the correspondent y-value of the vertex:

Then, the coordinates of the vertex are: (2.5, -24.5)

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step-by-step explanation:

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step-by-step :