$\"\"$

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The conic equation is $\"\"$ .

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Angle of rotation is $\"\"$ .

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$\"\"$

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Rotation formula : $\"\"$ and $\"\"$ .

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Substitute $\"\"$ in rotational formulas.

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

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$\"\"$

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$\"\"$

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The equation of the rotated conic in the $\"\"$ -plane is $\"\"$ .

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$\"\"$

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Graph :

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Graph the rotated conic equation $\"\"$ in the $\"\"$ -plane :

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$\"\"$

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$\"\"$

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The equation of the rotated conic in the $\"\"$ -plane is $\"\"$ .

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Graph of the rotated conic equation $\"\"$ in the $\"\"$ -plane is

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$\"\"$ .