$\"\"$

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The equation is $\"\"$ . \ \

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From problem number (21): $\"\"$ , $\"\"$ and $\"\"$ . \ \

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

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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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The rotational equation is $\"\"$ . \ \

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$\"\"$

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The rotational equation is $\"\"$ . \ \

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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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Compare the equation with standard form. \ \

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Center is origin. \ \

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Transverse axis is the $\"\"$ -axis. \ \

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Vertices at $\"\"$ .

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Graph: \ \

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Graph the equation $\"\"$ .

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$\"\"$ .

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$\"\"$

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$\"\"$ .

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The rotational equation is $\"\"$ . \ \

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The equation represents Hyperbola.

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Transverse axis is the $\"\"$ -axis. \ \

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Vertices are at $\"\"$ . \ \

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Graph of the equation $\"\"$ .

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$\"\"$ .