$\"\"$

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The hyperbola equation is $\"\"$ .

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The hyperbola has vertical orientation.

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The standard form of hyperbola equation is $\"\"$ , where $\"\"$ is center.

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Vertices: $\"\"$ .

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Foci: $\"\"$ .

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Asymptotes: $\"\"$ .

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$\"\"$ .

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$\"\"$

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The hyperbola equation is $\"\"$ .

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Compare the above equation with $\"\"$ .

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Center is $\"\"$ .

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Find $\"\"$ and $\"\"$ values.

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Here $\"\"$ and $\"\"$ .

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The value of $\"\"$ .

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Substitute $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$ .

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$\"\"$

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Vertices of the hyperbola are $\"\"$ .

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Substitute $\"\"$ and $\"\"$ . \ \ $\"\"$ .

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Vertices are $\"\"$ and $\"\"$ .

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Foci of the hyperbola are : $\"\"$ .

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$\"\"$

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Foci are $\"\"$ and $\"\"$ .

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Asymptotes: $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$

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Graph the center, vertices, foci, and asymptotes.

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The hyperbola equation is $\"\"$ .

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Solve for $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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Make a table of values to sketch the hyperbola.

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\"\"

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$\"\"$

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\"\"

\"\"

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$\"\"$

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$\"\"$

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$\"\"$

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\"\"

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$\"\"$

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$\"\"$

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$\"\"$

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Graph:

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Draw a coordinate plane.

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Plot the points obtained in the table.

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Sketch the hyperbola $\"\"$ .

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$\"\"$

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$\"\"$

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Graph:

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Graph of the hyperbola $\"\"$ is

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$\"\"$ .