Anonymous
Anonymous asked in Science & MathematicsMathematics · 1 decade ago

10 pts for anyone who's a graphing calculator guru! How do you graph PARAMETRIC equations?

say, x= t^2-2

Do you set it to "PAR" mode? If so, does it matter if I put it after X1T or Y1T?

Please explain, I'm so confused.

Update:

I didn't know they had to go together...

the other one was y=3t or

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• 1 decade ago

In parametric equations, x and y move independent of each other. This allows them to cross, loop, and do other kinds of "crazy" things that they wouldn't do with functions.

Recall that functions only have one output y for every input x, meaning they don't circle or loop or curve backwards onto themselves.

A parametric function on the other hand has an equation for each of the variables, for example:

x = t² - 2

y = 3·t

This means that while the x-values follow a parabolic path (coming the left and then curving and going back left), the y-values will follow a linear path. The value t connects them together and determines how fast these operations are done relative to each other. If you changed the y part to 2·t, then the y would not increase as quickly as x formed a parabola, which would crease a "slimmer" right-opening parabola.

So, to answer your question, it definitely does matter what order you put them in and you need both (or it isn't a parametric equation at all).

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