Solving Parametric Equations for y=√x

AI Thread Summary
The discussion focuses on generating three sets of parametric equations for the function y=√x. The user presents their solutions as x=t, y=√t; x=3t, y=√3t; and x=t+3, y=√(t+3). They express concern about the simplicity of their approach and seek validation. Responses indicate that while the solutions are correct, there is room for more creativity, suggesting alternatives like x=t^2. The conversation emphasizes the exploration of different forms in parametric equations.
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Even problem in 2nd semester calc book.

Homework Statement



Come up with three sets of PE for y=√x


The Attempt at a Solution



This is the first time in my math education that I've come across parametric equations where I am required to give 2 or more sets.

The first one:

x=t y=√t

Second:

x=3t y=√3t

Third:

x=t+3 y=√t+3

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My approach seems too easy; I have a sense my intuition on parametric equations is lacking, but any help would be appreciated!
 
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There is nothing wrong with your answers. You could be more creative if you want to. For example if you let ##x=t^2## and ##y=~?##.
 
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