Parabola Construction with "Angry Birds"
The goal of "Angry Birds" is to slingshot an arsenal of birds in a parabolic curve to destroy egg-stealing pigs. Can you construct the parabolas necessary to hit all the pigs? Move the directrix points and focus to create new a new parabola, and then drag the "MoveMe" point back and forth to trace the parabola. Don't forget to clear the screen (ctrl-F on PCs) every time you want to try a new parabola. For a greater challenge, try typing in the equation of a parabola in the input bar instead to see if you can hit the pigs. The "Angry Birds" property is owned by Rovio Entertainment LTD. Visit their website at http://www.rovio.com/ The image used in this GeoGebra applet is from http://dandroidtabletpc.com/download-angry-birds-seasons-hd-1-3-0-android-apk.html/
Questions for Students In regards to the parabola, what is the purpose of the directrix line (created by the two DirectrixPoints in the applet)? In regards to the parabola, what is the purpose of the focus? Using the directrix and focus, how can you create a thin parabola? How can you create a wide parabola?