determine the standard form of the equation of a hyperbola with vertices (plus of minus 2, 0) and passing through (4,3).

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rcmath eNotes educator| Certified Educator

Since vertices are (-2,0) and (2,0), this means the hyperbola is centered at (0,0) and a=2. 

So far we have `x^2/4-y^2/b=1`

To find b^2, we will plug in the additional point.





Hence the equation is `x^2/4-y^2/3=1`