Thread: 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

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)

-> therefore t is

then you substitute this into equation (1)



then equate this value of x to equation (3). They are bothe quadratic so compare the coefficients.





compare the coefficients

a = 1
b = -14
c = 49