
Eliminate the parameter
I am stuck and need a push. This problem looks simple, I have done quite a few of these but this one is a little different, it's giving me trouble. I am suppose to eliminate the parameter t to find a cartesian equation for:
x = t^2
y = 7 +1t
x = Ay^2 + By + C
Where:
A =
B =
C =
I was trying to solve for t as a function of Y and I thought I had it but no cigar. I am sure it is just that I have been sitting down for an hour and I need to walk away and come back to this because it seems to be easy but I just CAN'T!!!! Please HELP!
Thank you,
Keith Stevens:eek:

Hint
Hey Keith. Try finding an expression for Y in terms of t, so you can substitute that into X = t^2.

so what you need to do is first use equation (2)
$\displaystyle y = 7 + 1t $ > therefore t is $\displaystyle y  7 = t $
then you substitute this into equation (1)
$\displaystyle x = (y7)^2 $
then equate this value of x to equation (3). They are bothe quadratic so compare the coefficients.
$\displaystyle (y7)^2 = Ay^2 + By + C $
$\displaystyle y^2  14y + 49 = Ay^2 + By + C $
compare the coefficients
a = 1
b = 14
c = 49