Which of the functions below could have created this graph ?

According to the y-intercept and it's behavior, the function that could have created it's graph is:

D.

This function has a negative y-intercept, that is, when , y has a negative value, which means that options A and B are incorrect.

The function also points upwards, which means that the leading coefficient, that is, the multiplier of the value of x with the highest exponent is positive, hence option C is incorrect.

Thus, the function is:

D.

A similar problem is given at link

Step-by-step explanation:

There is parabola on the graph, so the function might be quadratic or 4th power. We have no numbers on axises, then let's analyze the answers:

(A) The graph is no parabola for this function.

(B) The  parabola for " - x² " is opened downward.

(C) The  parabola for this function is also opened downward.

(D) This one option is the answer. The y-intercept is (-2)

To work out the X coordinate you work out what one third of 6 - 0 is (which is 2) and to work out the Y coordinate you work out what one third of 8 - 4 is (which is around 1.3 you then add that to 4 and get 5.3). Therefore the answer is (2, 5.3) and when rounded to one figure its (2, 5).