\ \

The parametric equations  are and .

Graph the parametric equations and with different values of . \ \

\ \

Observe the graph: \ \

Family of parametric curves are symmetric about -axis.

For , there is a cusp.

Loop will form for positive values of .

As increases, the size of the loop is also increases.

\ \

Graph: \ \

\ \

Family of parametric curves are symmetric about -axis.

For , there is a cusp.

Loop will form for positive values of .

As increases, the size of the loop is also increases.