Answer
$\bf{Graph{(5)}}$
Work Step by Step
The parametric equations of a circle having radius $r$ are; $x=r \cos t ; y =r \sin t$
Here, we have $x= t , y=\dfrac{1}{1+t^2}, z=t^2$
We see that $x$ and $y$ look like a circle when we look down from a top view with a high z-value.
The parametric equation $z=t^2$ can be written as: $z=x^2$
This shows that the projection of the curve on the xz plane must be a parabola and the $y$ and $z$ coordinates should never be negative.
This matches with $\bf{Graph{(5)}}$.
