Which function is graphed below?

The function whose graph is given is

Step-by-step explanation:

Now, to find the equation of the function, when the graph is already given in the question, we can use the various coordinates points. The x-intercept and the y-intercept can be used first.

So here the graph is of the form:

Now to find the value of the arbitrary constants a and b , we will use the y -intercept (0,3) and point (-1,9)  where the curve is passing from.

Now when x=0, we have y= 3, which means that;

Now when x=-1, we have y=9, so we get:

Thus, the function whose graph is given is