Graphical representation of length "b" from hyperbola equation

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Travis Galileo

June 18, 2019 01:27
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It would be great if, within the unit on hyperbolae and their foci (Conic sections), we could SEE what length "b" from the equations x^2/a^2 - y^2/b^2 is on the graph. Length "a" is clearly shown as the distance from the vertex to the center, but length "b" is not graphically represented.

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André

June 25, 2019 12:31

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I was curious myself, I have missed that information in the video as well. Here is a Geogebra file I created to visualize the graphical Relationship of b. You can switch between two different representations by toggeling the checkbox.

https://www.geogebra.org/classic/vsjsjeag
Travis Galileo

June 25, 2019 17:02
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That’s super helpful and interesting. Thank you!

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Graphical representation of length "b" from hyperbola equation

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