$\"\"$

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The hyperbola equation is $\"\"$ .

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The standard form of the equation is $\"\"$ .

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Center is $\"\"$ ,

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Vertices $\"\"$ ,

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Foci is $\"\"$ ,

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Tranverse axis $\"\"$ ,

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Conjugate axis $\"\"$ ,

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Asympotes $\"\"$ ,

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Relationship between $\"\"$ is $\"\"$ .

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$\"\"$ .

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$\"\"$

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The hyperbola equation is $\"\"$ .

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Rewrite the equation as $\"\"$ .

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Compare it to $\"\"$ .

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Center is $\"\"$ ,

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Vertices $\"\"$ ,

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Foci is $\"\"$ ,

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Tranverse axis $\"\"$ ,

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Conjugate axis $\"\"$ ,

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Asympotes $\"\"$ ,

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$\"\"$ .

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Relationship between $\"\"$ is $\"\"$ .

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$\"\"$ .

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$\"\"$

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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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Make a table of values to sketch the hyperbola.

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

$\"\"$	\ $\"\"$ \	$\"\"$
$\"\"$	\ $\"\"$ \	$\"\"$
$\"\"$	\ $\"\"$ \	$\"\"$

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Graph :

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Plot the center, vertices and foci.

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Graph the tranverse axis and conjugate axis.

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$\"\"$ .

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$\"\"$

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The graph of hyperbola $\"\"$ :

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$\"\"$ .