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quadratic function

Function defined by a polynomial of degree two

Entitytype of mathematical functionQ50695

Also known as 2nd degree polynomial · polynomial of degree 2

Instance of: type of mathematical function
Subclass of: polynomial function

Overview

From Wikipedia, the free encyclopedia · Read full article · Text CC BY-SA 4.0

In mathematics, a quadratic function of a single variable is a function of the form with ⁠⁠, where ⁠⁠ is its variable, and ⁠⁠, ⁠⁠, and ⁠⁠ are coefficients. The expression ⁠⁠, especially when treated as an 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.

Overview

All data

33 statements · 12% with external sources · numbers in brackets are citations

Defining formula: f(x,y,z)=ax^2+by^2+cz^2+dxy+exz+fyz+gx+hy+iz +j
f(x,y)=ax^2+by^2+cxy+dx+ey+f
f(x)=ax^2+bx+c
f(x) = a(x-p)^2+q
Different from: single-variable quadratic function
square function
quadratic polynomial
quadratic equation
Follows: linear function
Followed by: cubic function
Has characteristic: degree of a polynomial numeric value: 2
In defining formula: f(x) symbol represents: dependent variable
x symbol represents: independent variable
a symbol represents: coefficient
b symbol represents: coefficient
c symbol represents: coefficient

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14 identifiers linking quadratic function across the web's reference databases

Data quality

statements

12%

externally sourced

Source last edited July 13, 2026. AIDB refreshes this page daily.

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AIDB. (2026). quadratic function (Q50695). Retrieved from https://aidb.si/e/quadratic-function-Q50695