Quadratic function

Summary

Quartic function In mathematics, a quadratic function of a single variable is a function of the form

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

with $a \ne 0$, where $x$ is its variable, and $a$, $b$, and $c$ are coefficients. The expression $\textstyle ax^2+bx+c$, 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.