The standard (vertex) form of of a quartic equation is[math] f(x) = a_o( a_i x - h)^4 + k[/math].[br]Adjust the sliders [math]a_0[/math], [math]a_i[/math], h, and k can be used to create the quartic equation that you wish to explore. [math]s_o[/math] and [math]s_i[/math] allow you to change the sign of the 'a' coefficients.[br][br]The [math]s_i[/math]-slider reflects the graph across the x-axis.[br]The [math]s_o[/math]-slider reflects the graph across the y-axis.[br][br]The check boxes are for three points that are selected on the graph. These points will allow the exploration of points on the graph by selecting box A, B, or C. Select the check box with the move arrow to see the coordinate values. Selecting the point will allow your to move the point with the mouse or the keyboard cursor keys.