Question

Consider the parametric equations below.
x = 1 + 2t, y = 4 − t^2
Eliminate the parameter to find a Cartesian equation of the curve.

Answer 1

solve one equation for "t" , then substitute it into other equation.

Answer 2

\[x = 1+2t \rightarrow t = \frac{x-1}{2}\]
\[\rightarrow y = 4 - (\frac{x-1}{2})^2\]