Question

X = 1/2t y = t^2 Eliminate the parameter and write the resulting rectangular equation.

Answer 1

$x=\dfrac12t\implies t=2x$
$\implies y=(2x)^2=4x^2$

Or, if you meant

$x=\dfrac1{2t}\implies t=\dfrac1{2x}$
$\implies y=\left(\dfrac1{2x}\right)^2=\dfrac1{4x^2}$