# Parametric Equation to Cartesian Equation

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• March 26th 2008, 11:17 AM
Del
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]

I need to find A, B, and C. Please Help!
• March 26th 2008, 11:19 AM
topsquark
Quote:

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]

I need to find A, B, and C. Please Help!

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