Parabola: Quick Anatomy Exploration

Interact with this app for several minutes. As you do, be sure to move the parabola's vertex (V) and focus(F) around. Be sure to interact with the sliders (lower right) as well.

Suppose the equation of a parabola is . Suppose the equation of another parabola is . How does messing with affect the graph of a parabola?

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Suppose the equation of a parabola is . Suppose the equation of another parabola is . How does messing with affect the graph of a parabola?

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A parabola with equation where

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A parabola with equation where

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A parabola with equation where and

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What exactly does tell us? Be specific.

What exactly do and tell us? Be specific.