Using a domain of {x | -50 < x < 50} and a range of {y | 0 < y < 20}, determine the following types of equations that you could use to model the curved arch.(adsbygoogle = window.adsbygoogle || []).push({});

The equation of a hyperbola in the form , where b = 10. The lower arm of the hyperbola would represent the arch.

((x-h)^2)/(a^2)-((y-k)^2)/(b^2)=-1

i have 2 questions about this number one shouldn't the equations be

((x-h)^2)/(b^2)-((y-k)^2)/(a^2)=-1 because it should be a hyberbola that opens up and down?

and second how do i solve this?

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# Homework Help: Hyperbola equations

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