Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 9 - Section 9.5 - Parametric Equations - Exercise Set - Page 1021: 72


Taking different values of t for both equations of x and y, the graph of the parametric equations can be plotted.

Work Step by Step

We know that the parametric equations are the equations having a common variable in both x and y. And by taking the values of t manually, one can get the values of x and y separately. And the corresponding points can be plotted to get a graph of the given parametric equations. For example: If the parametric equations are as given below: $\begin{align} & x=t \\ & y=2{{t}^{2}} \\ \end{align}$ Take the values of t manually and compute the values of x and y as given below: For $ t=1$ $\begin{align} & x=t \\ & =1 \end{align}$ $\begin{align} & y=2{{t}^{2}} \\ & =2{{\left( 1 \right)}^{2}} \\ & =2 \end{align}$ Similarly, for $ t=2$ $\begin{align} & x=t \\ & =2 \end{align}$ $\begin{align} & y=2{{t}^{2}} \\ & =2{{\left( 2 \right)}^{2}} \\ & =8 \end{align}$ And take some more values of t and get the values of x and y as given below: $\begin{align} & t=3 \\ & x=3 \\ & y=18 \\ \end{align}$ $\begin{align} & t=4 \\ & x=4 \\ & y=32 \\ \end{align}$ Thus, take these values of x and y to plot the graph as drawn below:
Small 1571287834
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.