Consider the quadratic equation of the form [math]ax^2+bxy+cy^2+dx+ey+f=0[/math], where [math]a,b,c,d,e,f\in\mathbb{R}[/math]. Graphs of quadratic equations are known as[b] conic sections.[/b] By means of a rotation of the plane about the origin, a translation of the plane, or both, it is possible to represent every conic in a simplified standard, or canonical, form.[br][br]With the following simulation you can observe the rotation and translation of the axes in order to put a conic in standard position. It also provides the equation of the conic in the final coordinate system. [br][br]