Cartesian Equation

**Truthbetold** · January 26th 2008, 08:26 AM

$x= 3t$
$y= 9t^2$

Find the cartesian equation.
I don't get what one is.

The answer is $t^2$ .

thanks!

**wingless** · January 26th 2008, 09:09 AM

Originally Posted by Truthbetold

$x= 3t$
[tex]
The answer is $t^2$ .

$t^2$ is not a cartesian equation. It's not even an equation..

As far as I know, cartesian equations are equations that describe the curve using x and y coordinates, not parameters like $t$ .

$x = 3t$
$y = 9t^2$
You can see that $y = x^2$ .

If you can't see the relation between x and y (parametric equations are not always simple like this), you can do it algebraically.

$x = 3t$
$t = \frac{x}{3}$
$y = 9t^2$
$y = 9 (\frac{x}{3})^2$
$y = x^2$

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