# Consider the parametric equations below. x = t^{2}, y = t^{9} (a) 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:**

x = t^{2}

t = √x

Substituting the above in y = t^{9} we get

y = (√x)^{9}

Using this __equation__ we plot the graph below with the help of the table (also given below)

t | x | y |

0 | 0 | 0 |

1 | 1 | 1 |

2 | 4 | 512 |

The graph above shows the direction of the curve as the value of t increases.

## Consider the parametric equations below. x = t^{2}, y = t^{9} (a) 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 curve by using the parametric equations is plotted above in the solution and the arrows indicate the direction in which the curve is traced as t increases

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