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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

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.

## Examples

Examples of Parabolas

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

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

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

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

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