Function

*f*defined by a relationship of the form*f*(*x*) =*a*\({x}^{2}\) where the parameter*a*, defines the opening and the direction of the concavity of the graph shaped like a parabola that represents the function in a Cartesian plane.The graph of a quadratic function has its vertex at the origin of the Cartesian plane.

A quadratic function is actually a second-degree polynomial function defined by a rule in which all the coefficients of the terms of degree less than 2 are zero.

### Example

The graphical representation of the quadratic function defined by the relationship *f*(*x*) =\({x}^{2}\) is a basic parabola with a vertex of (0, 0).