Popcorn Bowl (AR Modeling Challenge)

How can we use GeoGebra Augmented Reality to author 2 surface equations (with domain restrictions) to model this blue popcorn bowl shown in the screencast? [br][br][b]Clues:[/b][br][br]The radius of the [b][color=#ff00ff]pink circle[/color][/b] = [math]\sqrt{5}[/math]. [br][br]The [b][color=#1e84cc]blue surface is a paraboloid of revolution[/color][/b], THAT, if extended, would have a maximum at (0,0,5). [br][br]Cross sections of the [b][color=#1e84cc]blue surface[/color][/b] with ANY PLANE parallel to the plane z = 0 are CIRCLES. [br][br]The point (3, -1, 2.8) lies on the [b][color=#1e84cc]blue surface[/color][/b].

Information: Popcorn Bowl (AR Modeling Challenge)