Consider the parametric equations below. x = t², y = t³. Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direction in which the curve is traced as t increases.

Solution:

The graphs of x = t² and y = t³ are plotted on the graph below:

The arrows indicate the direction in which curves move as the value of t increases.

Consider the parametric equations below. x = t², y = t³. Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direction in which the curve is traced as t increases.

Summary:

The graph shows the direction of the movement of the curves x = t² and y = t³ as the value of t increases.