Which of the equations below could be the equation of this parabola?

Answer: D. [tex]y=-4x^2[/tex]
Step-by-step explanation:
From the given picture we can see that, there is an parabola opening downwards where its vertex lies at origin.
Also y axis is the axis of the symmetry for the given parabola.
Since, the standard equation of a parabola with vertex at origin , and open downwards is [tex]y=-4x^2[/tex]
Therefore, the equation of the parabola given in the picture is option D. [tex]y=-4x^2[/tex]