# Math Help - Applications of Parametric Equations

1. ## Applications of Parametric Equations

Eliminate the parameter.

x = t2 + 1, y = t2 - 1

2. ## Re: Applications of Parametric Equations

That's pretty close to being trivial. $t^2= x- 1$. Put that into the "y" equation.

3. ## Re: Applications of Parametric Equations

Hello, ambitionty9!

$\text{Eliminate the parameter. }\:\begin{Bmatrix} x &=& t^2+1 & [1]\\ y &=& t^2-1 & [2] \end{Bmatrix}$

Subtract [2] - [1]: . $y-x \:=\:-2 \quad\Rightarrow\quad y \:=\:x-2$

The graph is a straight line.
It starts at $t=0\!:\;\;(x,y) \,=\,(1,\text{-}1)$

Code:
        |
|             *
+           *
|         *
- - + - + - * - + - -
|     * 2
+   *
| .
-2.
. |
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