HELP PLEASE IM STUCK: 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. Maximum at (–3, 5) Minimum at (–3, 5)

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HELP PLEASE IM STUCK: 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. Maximum at (–3, 5) Minimum at (–3, 5)

Mathematics
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Vertex form is \(\Large y = a(x-h)^2+k\) The vertex of that equation is \(\Large (h,k)\) From \(\Large -2x^2 + 12x + 5\) we see that \(\Large a = -2, b = 12, c = 5\) Plug the values of 'a' and 'b' into the formula \[\Large h = \frac{-b}{2a}\] to find the value of h. Tell me what you get
Oh, I thought you already know the answer to this. Hmmm.
so it would be A? @jim_thompson5910

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Other answers:

why maximum?
because it increases
you're looking at the graph I'm guessing?
yes
do you know how to determine without the graph? by just looking at the value of 'a'
no, but can you just determine by looking at the graph?
well let's say we don't have a graphing calculator since 'a' is a negative number, this means that the parabola opens downward like this |dw:1442446419996:dw| a good way to remember this is to think "The value of 'a' is negative. Negative means sad, so we have a sad face graph"
ok
and of course, at the peak of this "sad face graph" is the vertex. Which in this case, is the max |dw:1442446478716:dw|
do you know how to find h and k without graphing?
no
use the formula I posted earlier use h = -b/(2a)
plug in a = -2 and b = 12 into that formula what is the value of h?
the value of H would be -3 right?
yes, let's do another example Let's say we had y = 3x^2-30x+85 what are the values of a,b,c ? what is the value of h?
a=3x^2 b=-30 c=85 and then h would be 30/18? i think i got it wrong...
a,b,c are just numbers (no variables attached)
a = 3, b = -30, c = 85
To find h, we do this \[\Large h = \frac{-b}{2a}\] \[\Large h = \frac{-(-30)}{2*3}\] \[\Large h = ???\]
can you give me one second? please just one minute:-)
Take all the time you need. There's no rush.
ok, so i worked it out and found that it was B
I'm asking for a number
if you plug a = 3 and b = -30 into that h formula, what result do you get?

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