A Quadratic
function is a polynomial function in which the highest power of
the variable is 2.

For example,

x ^{__}> x^{2} - 4x + 3 and
t ^{__}> 6t^{2} + 3t - 1 are quadratic functions.

The most general
form of a quadratic function is x ^{__}> ax^{2} + bx + c, where a, b and c
are constants. A term like x^{2} is called a square in algebra because
it is the area of a square with side x.

In general, a prefix quadr(i) -
indicates the number 4. Examples are quadrilateral and quadrant.
Quadratum is the Latin word for square because a square has four
sides.