Answer
The equation $y=2{{x}^{2}}$.
Work Step by Step
Consider the equation,
$y=2{{x}^{2}}$
Now choose some value of x on both sides of the vertex and compute the corresponding y value.
$\begin{matrix}
x & y \\
0 & 0 \\
1 & 2 \\
2 & 8 \\
-1 & 2 \\
-2 & 8 \\
\end{matrix}$
Now plot all the values of x and y on the rectangular coordinate system and join each point with one another to form a parabola as shown below.
