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Parabola: Cause and Effect

We know that the intersection of a plane and double-napped cone is a conic section. One particular conic section shown below is a PARABOLA. Interact with the applet below for a few minutes. Then answer the questions that follow. Note: LARGE POINTS are moveable AT ANY TIME. To explore in Augmented Reality, see the directions below the applet.


How would you describe the inclination of the green plane with respect to the cones? Explain.


How would you describe the action that happens towards the end of the animation?


1) Open up GeoGebra 3D app on your device. 2) Go to the MENU (horizontal bars) in the upper left corner. Select OPEN. In the Search GeoGebra Resources input box, type ztM2Yffm (Note this is the resource ID = last 8 digits of the URL for this resource.) Note: The i slider controls the animation. You can also move the LARGE YELLOW POINT. Then press AR again to explore in Augmented Reality.