$\"\"$

The parametric equations are $\"\"$ , $\"\"$ where $\"\"$ .

Construct a table for different values of $\"\"$ .

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\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

Graph :

1) Draw the coordinate plane.

2) Plot the points.

3) Connect those points with a smooth curve.

$\"\"$

The arrow mark represents the orientation of the parametric equations.

The orientation of the graph in the interval $\"\"$ is from right to the left.

The orientation of the graph in the interval $\"\"$ is from left to right.

$\"\"$

Find the rectangular equation of the curve.

Consider $\"\"$ .

Solve for $\"\"$ .

$\"\"$

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

$\"\"$

The rectangular equation of the curve is $\"\"$ .

$\"\"$

Graph of the parametric equations $\"\"$ , $\"\"$ is \ \

$\"\"$

The orientation of the graph in the interval $\"\"$ is from right to the left.

The orientation of the graph in the interval $\"\"$ is from left to right.

The rectangular equation of the curve is $\"\"$ .