The standard (vertex) form of of a quartic equation is.
Adjust the sliders , , h, and k can be used to create the quartic equation that you wish to explore. and allow you to change the sign of the 'a' coefficients.
The -slider reflects the graph across the x-axis.
The -slider reflects the graph across the y-axis.
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.

Be prepared to write paragraph descriptions of the action of each slider...
This applet can be used by teachers in a demonstration mode in the classroom or teachers can have students load it on their own computers with a worksheet to be complete for a grade.