Chapter 6.3, Problem 9E

Solution

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

Given information:

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

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).