Function f defined by a relationship of the form f(x) = ax2 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.