Math question! I am clueless! Math genius please explain it.

Option (C) is correct.

Step-by-step explanation:

The given options of the possible equation for the graph are as follows:

The given graph is decreasing and at x=0, y=2.

So, first checking the value of the given options for x=0

As, for x=0, y=2, so options (C) and (D) are not possible, so rejected.

Now, checking the nature (increasing or decreasing) of the given equation by differentiating it.

For option (A),

As

So,

Therefore, the function in option (A) is increasing function.

Similarly, for option (C),

As

So,

Therefore, the function in option (C) is decreasing function.

As the given graph is decreasing, so, (C)  represents the given graph.

Hence, option (C) is correct.

the transverse axis of a hyperbola is the line that contains the two vertices and the two focuses.

in this example (hyperbola of equation x^2/2 - y^2/4 = 1), the transverse axis is the  x-axis  . 

step-by-step explanation: