Chapter 6.3, Problem 7E

Solution

To graph: The graph of the parametric equations $x=3-t^2$ and $y=2t$ .

Given information:

The interval is $0\le t\le 10$ .

Calculation:

Use the graphing calculator in parametric mode. Enter the parametric equations $x=3-t^2$ and $y=2t$ as shown below.

  

Figure (1)

Adjust the viewing window to $\left[-10,10\right]$ by $\left[-10,10\right]$ as shown below.

  

Figure (2)

Click on graph button to plot the graph as follows.

  

Figure (3)

Therefore, the required graph is shown in figure (3).