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If I know the distance from the focus to the vertex of a hyperbola, is it possible to find the equation of the hyperbola, assuming the center is at (0,0) on a Cartesian plane? If yes, how do you do so?

Using typical hyperbola notation, if "c" is the distance from the focus to the center, "a" is the distance from the vertex to the center, and "b" is the perpendicular height from the latus rectum to the near asymptote [b = sqrt(c^2 - a^2)], I only know the value of c-a.

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# Homework Help: General Question Regarding Hyperbolas

Can you offer guidance or do you also need help?

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