# Math Help - Parametric Equation to Cartesian Equation

1. ## Parametric Equation to Cartesian Equation

Eliminate the parameter t to find a Cartesian equation for:

x = t^2

y = 8 + 4t

[x = Ay^2 + By + C]

2. Originally Posted by Del
Eliminate the parameter t to find a Cartesian equation for:

x = t^2

y = 8 + 4t

[x = Ay^2 + By + C]

Solve the y equation for t:
$y = 8 + 4t$

$4t = y - 8$

$t = \frac{y - 8}{4}$

Now insert this into the x equation:
$x = \left ( \frac{y - 8}{4} \right ) ^2$

Now just FOIL it out.

-Dan