Choose the function whose graph is given by:

D.

Step-by-step explanation:

We are given the graph of the transformed tangent function.

As, we can see that the graph is shifted 2 units upwards.

That is, the parent function is translated 2 units up.

So, the new function will be of the form, .

Thus, options A and C are not correct.

Moreover, 'If a function f(x) has period P, then the function cf(bx) will have period .

Also, form the figure, we see that the period of the graphed function is .

Since, have period .

So, function in option B will have period , which is not possible.

Further, function in option D have period .

Thus, the equation of the graphed function is, .