Can you please explain parametric equations? There are 5 practice examples, and I missed that day in class. I understand if you do not have time for all of these below, but if you could thoroughly explain as many as possible that would be great!

These are the practice examples.

1) Considering the given value of t, choose the ordered pair that lies on the graph of the given pair of parametric equations. x = t² - 6, y = t² + 1; t = 3

2) Considering the given value of t, choose the ordered pair that lies on the graph of the given pair of parametric equations. x = sin t, y = cos t; t = pi/2

3) Considering the given value of t, choose the ordered pair that lies on the graph of the given pair of parametric equations. x = t, y = t³; t = -2

4) Considering the given value of t, choose the ordered pair that lies on the graph of the given pair of parametric equations. x = sin t, y = cos t; t = 5pi/6

5) Considering the given value of t, choose the ordered pair that lies on the graph of the given pair of parametric equations. x = sin t, y = cos t; t = pi/3