Quadratic Function

From WikiEducator
< MathGloss‎ | Q
Jump to: navigation, search

This glossary is far from complete. We are constantly adding math terms.
For instructions on adding new terms, please refer to Math Glossary Main Page

Icon define.gif
A quadratic function is any function equivalent to one of the form [math]f(x) = ax^2 + bx + c\,\![/math], where [math]a \ne 0\,\![/math]. This means that b and c can equal zero. A quadratic function is often called second-grade function. In a quadratic function, the term of highest degree is the squared term.

Supplementary definitions

Wikipedia svg logo-en.svg  Quadratic function
A quadratic function, in mathematics, is a polynomial function of the form [math]f(x)=ax^2+bx+c \,\![/math], where [math]a \ne 0 \,\![/math]. The graph of a function is a parabola whose major axis is parallel to the y-axis.

This extract is licensed under the Creative Commons Attribution-ShareAlike license. It uses material from the article "Quadratic function", retrieved 1 Jan 2009.


Examples of Parabolas

[math]f(x) = 5x^2 + 8x + 3\,\![/math]

[math]f(a) = -4a^2 + \tfrac{2}{3}a - 10\,\![/math]

[math]f(t) = 10t^2 - 15t \,\![/math]

[math]f(n) = -\sqrt{47}n^2 + 17\,\![/math]

[math]f(z) = 9z^2\,\![/math]