# Minimum or maximum value of the quadratic function

## Description

A quadratic function, a quadratic polynomial, a polynomial of degree 2, or simply a quadratic, is a polynomial function in one or more variables in which the highest-degree term is of the second degree. A univariate (single-variable) quadratic function has the form: f(x)=ax2+bx+c . The graph of the quadratic function f(x)=ax2+bx+c is a parabola. The vertex of a parabola is the place where it turns; hence, it is also called the turning point. Using calculus, the vertex point, being a maximum or minimum of the function, can be obtained by the coefficients of the function.

Related formulas## Variables

f_{x} | aximum or minimum of the quadratic function (dimensionless) |

a | The quadratic coefficient (dimensionless) |

b | The linear coefficient (dimensionless) |

c | The free term (coefficient) (dimensionless) |