Hyperbola

Experiment with the sliders for a, b, h, and k.
How do the equation and other values change?

What are the conditions for when the shape changes form between an ellipse and a hyperbola.

What are the conditions for when the hyperbola shape opens up/down or left/right?

What are the conditions for when the ellipse shape is longer up-down, or longer left right?

What happens to the foci? Where are they located?

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Mark Fowler, Grafton HS, Created with GeoGebra