Question

Eliminate the parameter: x = (3t+ 2)² y = t - 2

Answer 1

Solve for t in terms of y :

$y = t - 2 \implies t = y + 2$

Substitute this into the parametric equation for x :

$x = (3t + 2)^2 \implies x = (3(y + 2) + 2)^2 \implies \boxed{x = (3y+8)^2}$