Problem:
Solve for $y=f(x)$ given the following parametric equations:
$y(t)=\frac{1}{4} \left(49 t^2+\left(294-28 \sqrt{2}\right) t-84 \sqrt{2}+449\right), x(t)=-\frac{7 t}{\sqrt{2}}-\frac{21}{\sqrt{2}}$
Answer:
$y=\frac{x^2}{2}+2 x+2$
{'source': 'AMPS', 'file': 'amps/mathematica/algebra/parametric_equations/44945.txt'}