$\"\"$

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The equation is $\"\"$ .

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$\"\"$ .

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The general form of hyperbola is $\"\"$ .

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Where, The hyperbola is transverse about $\"\"$ -axis and $\"\"$ is the center.

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$\"\"$ is the distance between center and vertex.

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$\"\"$ is the distance between center and focus and $\"\"$ .

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The vertices of the hyperbola is $\"\"$ .

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The foci of the hyperbola is $\"\"$ .

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

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$\"\"$

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The hyperbola equation is $\"\"$ .

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Compare the equation with general form of hyperbola.

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The values of $\"\"$ and $\"\"$ .

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

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$\"\"$ .

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$ .

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The foci is at $\"\"$ and $\"\"$ .

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$

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The vertices are at $\"\"$ and $\"\"$ .

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

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$\"\"$ .

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The asymptotes are $\"\"$ and $\"\"$ .

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$\"\"$

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Graph :

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(1) Draw the coordinate plane.

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(2) Draw the equation of the hyperbola.

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(3) Plot the foci and vertices.

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(4) Form a rectangle containing the points $\"\"$ and $\"\"$ .

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(5) Draw the asymptotes of the hyperbola.

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$\"\"$

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$\"\"$

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The center of the hyperbola is $\"\"$ .

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The hyperbola has a transverse axis parallel to $\"\"$ axis.

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The vertices of the hyperbola is $\"\"$ and $\"\"$ .

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The foci of the hyperbola is $\"\"$ and $\"\"$ .

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Asymptotes of the hyperbola are $\"\"$ and $\"\"$ .

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$\"\"$ .