information:filtering
Graph of the univariate function

Regardless of the format, the graph of a univariate quadratic function f (x) = a x 2 + b x + c {\displaystyle f(x)=ax^{2}+bx+c} is a parabola (as shown at the right). Equivalently, this is the graph of the bivariate quadratic equation y = a x 2 + b x + c {\displaystyle y=ax^{2}+bx+c}.

The coefficient a controls the degree of curvature of the graph; a larger magnitude of a gives the graph a more closed (sharply curved) appearance.

The coefficients b and a together control the location of the axis of symmetry of the parabola (also the x -coordinate of the vertex and the h parameter in the vertex form) which is at

The coefficient c controls the height of the parabola; more specifically, it is the height of the parabola where it intercepts the y -axis.