Year 12 · Specialist Mathematics

Polynomial parameterisations

Free examples and worked answers. No account needed.

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Practise the method.

Eliminate parameters and differentiate parametric curves.

Example 1

-0.95213.1-542542xy
Explore both signs of t. Gold marks the question parameter. Axes use different scales.
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Answer:

Example 2

5.512.5-0.510xy
Explore the same parameter in x and y. Dashed guides link the moving point to the axes. Equal axis scales; t from −3 to 3 is a viewing window.
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Answer:

Example 3

-5.1871.3-28702870xy
Explore both signs of t. Gold marks the question parameter. Axes use different scales.
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Answer: