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Slicing the Cone to Create Hyperbolas

Since you might be inexperienced with hyperbolas, take a quick tour in Hyperbola-Land.
In the following action figure, practice slicing the double-napped cone to explore when hyperbolas are formed.
When you are finished, answer the questions in the question box below to check your understanding of how the double-napped cone can be sliced to create hyperbolas.
How does this applet work?
What do m and b represent?


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