$\"\"$

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The conic equation is $\"\"$ .

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(a)

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The mirror has been rotated to an angle of $\"\"$ .

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The conic eqaution is $\"\"$

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Rotational 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 the conic formula.

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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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$\"\"$

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

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$\"\"$

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(b)

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Graph the equation by solving for $\"\"$ .

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$\"\"$

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By using quardatic formula.

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$\"\"$

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$\"\"$

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$\"\"$

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Graph :

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Graph the curve $\"\"$ .

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$\"\"$

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$\"\"$

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(a) The equation of the rotated ellipse in the $\"\"$ -plane is $\"\"$ .

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(b) Graph of the curve $\"\"$ .

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$\"\"$