$\"\"$

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

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Asymptote of the hyperbola is $\"\"$ .

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Mid point of the vertices is the center of the hyperbola.

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$\"\"$

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$\"\"$ .

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The $\"\"$ - coordinates of the center and vertices are equal and it is zero.

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Thus, Transverse axis is the $\"\"$ axis.

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The standard form of the horizontal hyperbola is $\"\"$ .

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Where $\"\"$ is the center.

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

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

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

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

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$\"\"$ .

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Compare $\"\"$ with $\"\"$ .

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$\"\"$

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

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$\"\"$

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$\"\"$ .

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

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$\"\"$ .

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

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$\"\"$

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

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Substitute $\"\"$ .

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

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

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Plot the points above and below the center $\"\"$ .

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Co vertices 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 center, 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 equation of the hyperbola is $\"\"$ .

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Graph of the hyperbola:

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$\"\"$ .