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kymber
 2 years ago
How to find the maximum or minimum value of a quadratic function?
kymber
 2 years ago
How to find the maximum or minimum value of a quadratic function?

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2le
 2 years ago
Best ResponseYou've already chosen the best response.1You look at the vertex. Are you at the calculus level or the algebra level?

ganeshie8
 2 years ago
Best ResponseYou've already chosen the best response.2see the sign of x^2 coeffecient

kymber
 2 years ago
Best ResponseYou've already chosen the best response.4Algrebra II, year three in high school. It's the same as the vertex?

ganeshie8
 2 years ago
Best ResponseYou've already chosen the best response.2correct, vertex gives us max/min value. if x^2 coefficient is ve, its min if x^2 coefficient is +ve, its max

ganeshie8
 2 years ago
Best ResponseYou've already chosen the best response.2its the opposite actually. if x^2 coefficient is ve, its max if x^2 coefficient is +ve, its min

2le
 2 years ago
Best ResponseYou've already chosen the best response.1What @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.

ganeshie8
 2 years ago
Best ResponseYou've already chosen the best response.2dw:1349465625929:dw

ganeshie8
 2 years ago
Best ResponseYou've already chosen the best response.2so we have minimum value there

kymber
 2 years ago
Best ResponseYou've already chosen the best response.4So how do you find the value of it?

ganeshie8
 2 years ago
Best ResponseYou've already chosen the best response.2max/min value = f(b/2a)

ganeshie8
 2 years ago
Best ResponseYou've already chosen the best response.2actually it comes from the formula for vertex, vertex = (b/2a, f(b/2a))

phi
 2 years ago
Best ResponseYou've already chosen the best response.0for parabola f(x)= a x^2 + b x +c the x coordinate of the vertex is b/(2a)

kymber
 2 years ago
Best ResponseYou've already chosen the best response.4Um, like this? dw:1349465829395:dw

CliffSedge
 2 years ago
Best ResponseYou've already chosen the best response.0Given \[ax^2+bx+c=a(xh)^2+k\] The vertex is located at (h, k).

ganeshie8
 2 years ago
Best ResponseYou've already chosen the best response.2dw:1349465949629:dw

ganeshie8
 2 years ago
Best ResponseYou've already chosen the best response.2that gives the xcoordinate only, ycoordinate gives the max/min value.

ganeshie8
 2 years ago
Best ResponseYou've already chosen the best response.2coordinate is just a number i think

kymber
 2 years ago
Best ResponseYou've already chosen the best response.4So how do I find the ycoordinate?

ganeshie8
 2 years ago
Best ResponseYou've already chosen the best response.2since you got, xcoordinate of vertex = b/2a = 5

ganeshie8
 2 years ago
Best ResponseYou've already chosen the best response.2put that x value = 5, in the quadratic, it gives u ycoordinate of vertex

phi
 2 years ago
Best ResponseYou've already chosen the best response.0notice 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

kymber
 2 years ago
Best ResponseYou've already chosen the best response.4I got it! Thanks guys \(\Large\ddot\smile\)

ganeshie8
 2 years ago
Best ResponseYou've already chosen the best response.2glad to hear friend :)

phi
 2 years ago
Best ResponseYou've already chosen the best response.0hopefully you got y=0 so the vertex is at (5,0) and the min value is 0

kymber
 2 years ago
Best ResponseYou've already chosen the best response.4Yep, I got 0. the smiley is \large\ddot\smile :P

ganeshie8
 2 years ago
Best ResponseYou've already chosen the best response.2\( \large\ddot\smile \) ah latex is beautifyul :)

CliffSedge
 2 years ago
Best ResponseYou've already chosen the best response.0Thanks, @kymber for teaching us something. \[\large \ddot \smile\] Awesome.

kymber
 2 years ago
Best ResponseYou've already chosen the best response.4Hehe \(\huge\ddot\smile\)

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.0yeah , kymber also taught me to draw heart ♥ \(\huge \color{red}{♥}\)

kymber
 2 years ago
Best ResponseYou've already chosen the best response.4\(\Huge\color{pink}{❥}\) Sideways!

ganeshie8
 2 years ago
Best ResponseYou've already chosen the best response.2i thought only AccessDenied is the latex guru... we have so many experts over here hmm :)

ganeshie8
 2 years ago
Best ResponseYou've already chosen the best response.2but thats cheating... thats not latex, u using unicode i guess

CliffSedge
 2 years ago
Best ResponseYou've already chosen the best response.0You're blowing my mind, @kymber !

kymber
 2 years ago
Best ResponseYou've already chosen the best response.4Lol yeah.. it's not a \(\LaTeX\) command. Just alt codes :

ganeshie8
 2 years ago
Best ResponseYou've already chosen the best response.2:) 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...

ganeshie8
 2 years ago
Best ResponseYou've already chosen the best response.2this one : http://www.fileformat.info/info/unicode/char/2694/index.htm see if u can get this here...

ganeshie8
 2 years ago
Best ResponseYou've already chosen the best response.2i see a box, what u see at ur end hmm

kymber
 2 years ago
Best ResponseYou've already chosen the best response.4What browser are you guys using?

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.0letme login through mozilla

kymber
 2 years ago
Best ResponseYou've already chosen the best response.4Yeah. I switched to Chrome and it's a box. Use Mozilla! :P

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.0what kind of black magic is this!

CliffSedge
 2 years ago
Best ResponseYou've already chosen the best response.0Firefox is simply superior . .
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