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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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.