Find a parameterization (x(t), y(t), z(t) for the curve y=6-4x⁴ that is parallel to the xy-plane. Your parametrized curve should pass through the point (0,6,-2) when t=2 and have x'(2) ≠ 0.
x(t) = ___
y(t) = ___
z(t) = ___