In this GeoGebra Augmented Reality modeling challenge, the goal here is to author 2 surface equations (with domain restrictions) to model the holiday bulb seen in the screencast below. [br][br][b]Modeling Clues:[br][br][/b]1) Both surfaces are paraboloids of revolution (where cross sections parallel to the xy-plane are circles). [br][br]2) The [b][color=#1e84cc]blue surface[/color][/b] has vertex (0,0,5). The [b][color=#ff00ff]pink surface[/color][/b] has vertex (0, 0, -3). [br][br]3) Both surfaces meet on the xy-plane itself (with no overlap). [br][br]4) The point (-1, 1, 3.4) lies on the blue surface. [br][br][b]Additional Challenge[/b]:[br][br]As you can see from the screencast, these 2 surfaces better model this surface at the upper and lower ends vs. the lower-middle (where it's widest). What other quadric surface model(s) could we use to better model these holiday bulbs? [br]