Using the completing-the-square method, find the vertex of the function f(x) = –2x^2 + 12x + 5 and indicate whether it is a minimum or a maximum and at what point

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Using the completing-the-square method, find the vertex of the function f(x) = –2x^2 + 12x + 5 and indicate whether it is a minimum or a maximum and at what point

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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group the x terms together f(x) = (-2x^2 +12x)+ 5 now remove the common factor of -2 \[f(x) = -2(x^2 - 6x) + 5\] what is needed inside the brackets to complete the square
the vertex is a maximum since the coefficient of the leading term is -2
Maximum at (-3,5) Minimum at (-3,5) Maximum at (3,23) Minimum at (3,23) those are my options btw

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so what do you need to add inside the brackets to get a perfect square..?
i really have no idea what im doing @campbell_st
Or you can do this. |dw:1438893714666:dw|
Can you solve it?
Do it and I'll tell you if you got it right. And if you won't, then I'm not the right person to ask for help. (:
@mathway, whilst your method is valid, it doesn't address the question of using complete the square. I would have solved this question is the way you suggested... But I think the question is asking for specific skills.
@campbell_st I agree that the question asked him to specifically solve it by completing the square; I just thought that it would be easier for him to do what I said. Nevertheless, he didn't respond to what we told him to do to solve it.

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