This is a worksheet to demonstrate parametric equations. Shown on the left are functions of t. x(t) and y(t) are shown. Move the slider t to advance the point along the t-axis. The x and y coordinates are plotted and traced on the Cartesian plane. On the Cartesian plane x is in blue and y is in red.
1) How many times does x(t) have a root? How many times does the parametric graph cross the y-axis? 2) How many times does y(t) have a root? How many times does the parametric graph cross the x-axis?