Answer:
The equation that would produce the given graph is;
[tex]x^2=8y[/tex]
Explanation:
Given the graph in the attached image;
The graph shows an exponential function of the form;
[tex]y=ax^2[/tex]
From the shape of the graph, we can observe that the value of the coefficient a is less than 1;
[tex]\begin{gathered} a=\frac{1}{8} \\ y=\frac{1}{8}x^2 \\ 8y=x^2 \\ x^2=8y \end{gathered}[/tex]
Therefore, the equation that would produce the given graph is;
[tex]x^2=8y[/tex]
