Exploration: y = ax^2 + bx + c and y = (x - h)^2 + k

Move the sliders to set the desired equation in the form [math]y=ax^2+bx+c[/math][br][br]Then move the yellow circle so that the 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.

Information: Exploration: y = ax^2 + bx + c and y = (x - h)^2 + k