Introduction to Conic Section

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Before we explore conic section types analytically, let's explore them first in GeoGebra 3D Graphing Calculator app!

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[b][color=#ff00ff]Note the equation of the plane is z = some constant. [br][br][/color][/b][color=#ff00ff]Change the equation of this pink plane to z = 2. Then change it to z = 1. Then change it to z = 4. [/color][br][br]How would you describe the intersection of this [b][color=#ff00ff]plane[/color][/b] and [b][color=#1e84cc]cone[/color][/b]?

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Change the [b][color=#ff00ff]equation of the plane[/color][/b] to [math]z=x+1[/math]. How would you describe the intersection of this [b][color=#ff00ff]plane[/color][/b] and [b][color=#1e84cc]cone[/color][/b] now?

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Now change the [b]equation of the plane [/b]to [math]z=0.5x+2.5[/math]. How would you describe the intersection of this [b][color=#ff00ff]plane[/color][/b] and [b][color=#1e84cc]cone[/color][/b] now?

4.

Change the [b][color=#ff00ff]equation of the plane[/color][/b] to [math]z=3x+1.5[/math]. How would you describe the intersection of this [b][color=#ff00ff]plane[/color][/b] and [b][color=#1e84cc]cone[/color][/b] now?

Introduction to Conic Section

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Also: Quick Summary of All Conic Section Types & How They're Formed

Information: Introduction to Conic Section