Mathematics-Online lexicon: Quadratic Function

	[home] [lexicon] [problems] [tests] [courses] [auxiliaries] [notes] [staff]
	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

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

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

$\includegraphics{quadratische_funktion}$

Example:

automatically generated 4/ 8/2008