$\"\"$

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The equation is $\"\"$ .

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Compare the equation with general form $\"\"$ .

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$\"\"$ and $\"\"$ .

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

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$\"\"$ .

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$\"\"$ .

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Use Pythagorean theorem :

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$ .

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Apply formula: $\"\"$ .

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$\"\"$ .

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$\"\"$ .

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Apply formula: $\"\"$ .

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$\"\"$

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$\"\"$ .

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$\"\"$

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The rotation formulas are $\"\"$ and $\"\"$ .

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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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$\"\"$ .

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$\"\"$

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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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$\"\"$

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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 rotational equation is in the form of parabola with center at $\"\"$ , focus $\"\"$ and axis of symmetry parallel to the $\"\"$ -axis.

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Graph the equation $\"\"$ .

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Plot the points $\"\"$ and $\"\"$ rotated about $\"\"$ .

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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 rotational equation is in the form of parabola with center at $\"\"$ , focus $\"\"$ and axis of symmetry parallel to the $\"\"$ -axis.

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Graph of the equation $\"\"$ .

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$\"\"$ .