Answer
$x^2=y$
Work Step by Step
Since the parabola is opening up, it means that the parabola is vertical.
The standard form of a vertical parabola is given as: $x^2=4py ~~~(1)$
(when the parabola has the vertex at origin $(0,0)$)
Here, the point $(\sqrt 3, 3)$ is on the graph, so we have: $x=\sqrt 3; y=3$
Now, we will plug the values of $x$ and $y$ in the standard form of parabola to calculate $p$:
$(\sqrt 3)^2=4p \times (3)$
or, $12 p=3 \implies p=\frac{1}{4}$
Thus, the equation (1) becomes:
$x^2 =(4)\left(\frac{1}{4}\right) y \implies x^2=y$
