37-50 Finding the equation of a Hyperbola Find an equation for the hyperbola that satisfies the given conditions.
Asymptotes , hyperbola passes through
The equation of the hyperbola with the asymptotes are , and it passes through .
The general equation of a hyperbola with -axis as transverse axis is given by
The asymptotes are given by,
Here, is the transverse axis, is the conjugate axis, c is the focus, and is the center of the hyperbola.
Compare with the equation , we get
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