Answer
See image:
Work Step by Step
Parametric equations: $\left\{\begin{array}{l}
x=t\\
y=t\\
z=t^{2}
\end{array}\right.$
In the xy plane, (z=0)
The projection is $y=x$, a line.
Translate this line along z and you have a plane.
In the yz plane, (x=0)
The projection is $z=y^{2}$, a parabola.
In the xz plane, (y=0)
The projection is $z=x^{2}$, a parabola
The curve is a parabola in the plane y=x.
