Page (3 of 3) Exercises:

1 2 3
- Show that the point (11,9) is not on the graph of the parametric equations

x = t^{2} + 1y = 3t

Answer

- Determine if (11,9) is on the graph. We know the answer should be
*no*. Using the *y*-equation first, if y = 9 then t = 3. Then
x = (3)^{2} + 1 = 10.
Since x≠ 11 at the only *t*-value that makes y = 9, the point (11,9) is not on the graph.
- It's also possible to determine the points at which parametric equations intersect. This is how we'd know if Mario ran into a red koopa flying loftily over the canyon during his jump. One example is given here.

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