Question

Which of the following equations will produce the graph shown below? +10 +9 [phone]-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

Answer:

The equation that would produce the given graph is;

$x^2=8y$

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;

$\begin{gathered} a=\frac{1}{8} \\ y=\frac{1}{8}x^2 \\ 8y=x^2 \\ x^2=8y \end{gathered}$

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

$x^2=8y$