Move the sliders to set the desired equation in the form [math]y=a\left(x-p\right)\left(x-q\right)[/math].[br][br]Move the yellow circle at the vertex so that the graphs have the same vertex.[br][br]Then move the other yellow circle to stretch, shrink and/or reflect the graph until the two graphs coincide.[br][br]If the graphs are in the same location, the equations must be equivalent.[br][br]Use the equation of the purple curve to describe the location of both graphs.