x = | t3 8 | ; y = | t3 + 8 |
2t2 | 2t2 |
![]() |
Pressing ![]() ![]() ![]() |
![]() | Now that the setting has been changed, the next step is to enter the parametric equations. |
![]() | Pressing ![]() ![]() |
![]() | Before actually moving to the graph, we use the
![]() ![]() ![]() |
![]() | Note that the calculator used here has the "DrawDot" option set. |
![]() | To move to Figure 6, press the ![]() ![]() |
![]() | Figure 7 presents the graph of the parametric equations. However, that graph is vastly different from the one given in the text. |
![]() | In Figure 8 we use the ![]() |
![]() | Now we will request that t start at
10, increase in steps of 0.1, and stop only when it reaches 10.
We can press ![]() |
![]() | Now the graph is starting to look more like the one given in the text.
We note that by including negative values for t we have produced
a whole new part of the graph. Values of t that are close to zero
are sending the relation off to the upper left of the graph. We can force the calculator to fill in between points by changing the settings. |
![]() | ![]() ![]() ![]() |
![]() | In Figure 12 the graph of the relation seems essentially identical to the one given in the text. However, the text graph includes the two lines, y=x and y= x. We can not enter those functions directly on this graph because we are in parametric mode, not function mode. (The lines in the graph in the text were not created on the calculator.) We can, however, create the parametric version of the two lines. |
![]() | We press ![]() ![]() |
![]() | The two new relations appear on Figure 14. |
PRECALCULUS: College Algebra and Trigonometry
© 2000 Dennis Bila, James Egan, Roger Palay