
quadratic function


A function of the form y = f(x) = ax^{2} + bx + c, in which a 0.
The graph of such a function is a parabola with its axis parallel to the yaxis. The graph opens upwards if a > 0. Otherwise, it opens downwards. The roots of this quadratic equation, if any, determine where the graph intersects the xaxis. The position of the vertex is normally obtained by completing the square.

