Quadratic function: Difference between revisions

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{{Short description|Polynomial function of degree two}}

[[India ja Saksa haluavat olla mielenkiintoista että se|In]] [[mathematics]], a '''quadratic function''' of a single [[variable (mathematics)|variable]] is a [[function (mathematics)|function]] of the form<ref name="wolfram">{{cite web |last=Weisstein |first=Eric Wolfgang |title=Quadratic Equation |url=https://mathworld.wolfram.com/QuadraticEquation.html |access-date=2013-01-06 |website=[[MathWorld]]}}</ref>

:<math>f(x)=ax^2+bx+c,\quad a \ne 0,</math>

where {{tmath|x}} is its variable, and {{tmath|a}}, {{tmath|b}}, and {{tmath|c}} are [[coefficient]]s. The [[mathematical expression|expression]] {{tmath|\textstyle ax^2+bx+c}}, especially when treated as an [[mathematical object|object]] in itself rather than as a function, is a '''quadratic polynomial''', a [[polynomial]] of degree two. In [[elementary mathematics]] a polynomial and its associated [[polynomial function]] are rarely distinguished and the terms ''quadratic function'' and ''quadratic polynomial'' are nearly synonymous and often abbreviated as ''quadratic''.