Which of the following equations will produce the graph shown below?

Answer:
Option: A is the correct answer.
The equation of parabola is:
[tex]x^2=8y[/tex]
Step-by-step explanation:
Clearly we could observe that the parabola opens upward with vertex at (0,0) this means that the general equation of the parabola is:
[tex]x^2=4ay[/tex]
The focus of parabola is: (0,a) and equation of directrix is: y= -a
From the image provided to us we get:
a=2
and directrix is: y= -2
Hence, the equation of a parabola is:
[tex]x^2=8y[/tex]