Find the standard form of the equation of the hyperbola with the given characteristics.

Vertices: (-2,1),(2,1);

passes through the point (5,4)

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- Nov 30th 2009, 06:40 PMryno16Ellipses standard form
Find the standard form of the equation of the hyperbola with the given characteristics.

Vertices: (-2,1),(2,1);

passes through the point (5,4) - Dec 1st 2009, 12:27 AMacc100jt
The equation of a hyperbola is given by , where is the centre of the hyperbola.

For your question, the centre of the hyperbola is , and since is the distance from the vertices to the centre.

Thus,

Since the curve passes through , you can find by substitution.