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Mathematics-Online lexicon:

Quadratic Function

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z overview

The graph of a quadratic function

$\displaystyle f(x)=ax^2+bx+c

is a parabola

$\displaystyle y=a(x-x_0)^2+y_0

with apex

$\displaystyle (x_0,y_0) = \left(-\frac{b}{2a},-\frac{b^2}{4a}+c\right)\,.


[Examples] [Links]

  automatically generated 4/ 8/2008