Question

Which of the following equations will produce the graph shown below? +10 +9 +7 -6 -5 -4 -3 2 -1 -10-9 -8 -7 -6 -5-4-3-2-1 1 2 3 4 5 6 7 8 9 10 د ننه من -3 -6 -7 +-10 O A *= 8y O 2

Answer 1

The equation that would produce the given graph is;

`x^2=8y`

Step-by-step explanation:

Given the graph in the attached image;

The graph shows an exponential function of the form;

`y=ax^2`

From the shape of the graph, we can observe that the value of the coefficient a is less than 1;

`\begin{gathered} a=(1)/(8) \\ y=(1)/(8)x^2 \\ 8y=x^2 \\ x^2=8y \end{gathered}`

Therefore, the equation that would produce the given graph is;

`x^2=8y`