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Quadratic Function

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Definition

A quadratic function is any function equivalent to one of the form f(x) = ax^2 + bx + c\,\!, where a \ne 0\,\!. 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


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

This article is licensed under the GNU Free Documentation License. It uses material from the article "Quadratic function" Retrieved 1 Jan 2009


Examples

Examples of Parabolas
Examples of Parabolas

f(x) = 5x^2 + 8x + 3\,\!

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

f(t) = 10t^2 - 15t \,\!

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

f(z) = 9z^2\,\!












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