Answer
The equation matches with the graph labeled as I.
Work Step by Step
It has the equation of a parabola with vertical axis: $x^2=4py$
$2x^2=y$
$x^2=\frac{1}{2}y$
$4p=\frac{1}{2}$
$p=\frac{1}{8}$
$p\gt0$. Parabola opens upwards.
The equation matches with the graph labeled as I.