The parametric equations of a function are:
x = 4 cos θ
y = 3 sin θ
For angles in the interval:
[tex]\lbrack\frac{\pi}{2},\frac{3\pi}{2}\rbrack[/tex]
Below we show the table of values for theta in increments of 10 degrees and the corresponding values of x and y:
This produces the following graph:
The graph was drawn from the upper points down to the left-bottom points, that is, in a counterclockwise direction.
The ellipse is centered at the origin and the length of the major axis is 4 and the length of the minor axis is 3.
Completing the full statement:
The graph of the parametric equations is the left half of an ellipse. The length of the major axis of the semi-ellipse is 4, the length of the minor axis is 3, and the center is the origin. The semi-ellipse is elongated horizontally.
Arrows are drawn on the semi-ellipse to indicate movement in a counterclockwise direction.
