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How to find the maximum or minimum value of a quadratic function?

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You look at the vertex. Are you at the calculus level or the algebra level?
see the sign of x^2 coeffecient
Algrebra II, year three in high school. It's the same as the vertex?

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Other answers:

correct, vertex gives us max/min value. if x^2 coefficient is -ve, its min if x^2 coefficient is +ve, its max
its the opposite actually. if x^2 coefficient is -ve, its max if x^2 coefficient is +ve, its min
What @ganeshie8 said, that will tell you whether the parabola faces up or down. The point at the vertex will be a min or a max depending on that coefficient.
so we have minimum value there
So how do you find the value of it?
max/min value = f(-b/2a)
actually it comes from the formula for vertex, vertex = (-b/2a, f(-b/2a))
  • phi
for parabola f(x)= a x^2 + b x +c the x coordinate of the vertex is -b/(2a)
Um, like this? |dw:1349465829395:dw|
Given \[ax^2+bx+c=a(x-h)^2+k\] The vertex is located at (h, k).
that gives the x-coordinate only, y-coordinate gives the max/min value.
coordinate is just a number i think
So how do I find the y-coordinate?
since you got, x-coordinate of vertex = -b/2a = 5
put that x value = 5, in the quadratic, it gives u y-coordinate of vertex
  • phi
notice in x^2 -10x +25 b is -10 (negative 10) -b/2a is +10/2*1= 10/2 = +5 use 5 for x in the equation to find the y value
I got it! Thanks guys \(\Large\ddot\smile\)
glad to hear friend :)
  • phi
hopefully you got y=0 so the vertex is at (5,0) and the min value is 0
and hw do i get that
Yep, I got 0. the smiley is \large\ddot\smile :P
\( \large\ddot\smile \) ah latex is beautifyul :)
Yes it is :D
Thanks, @kymber for teaching us something. \[\large \ddot \smile\] Awesome.
Hehe \(\huge\ddot\smile\)
yeah , kymber also taught me to draw heart ♥ \(\huge \color{red}{♥}\)
\(\Huge\color{pink}{❥}\) Sideways!
i thought only AccessDenied is the latex guru... we have so many experts over here hmm :)
but thats cheating... thats not latex, u using unicode i guess
You're blowing my mind, @kymber !
Lol yeah.. it's not a \(\LaTeX\) command. Just alt codes :|
still its cool :)
:) yea these things i can see also. but sometime back i tried to use crossed swords unicode, and it didnt show up in many browsers :( from then i stopped using unicode, not sure why only few unicode characters show up...
this one : see if u can get this here...
i see a box, what u see at ur end hmm
:| I see the swords..
i see box also
What browser are you guys using?
chrome O.o
chrome too
I'm using Mozilla :P
firefox ?
letme login through mozilla
Yeah. I switched to Chrome and it's a box. Use Mozilla! :P
mozilla wins !
what kind of black magic is this!
Firefox is simply superior . .

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