Question

Choose the function whose graph is given by:

Answer 1

Answer:

D. $y=\tan (x-\pi)+2$

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, $y=\tan (x)+2$.

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 $\frac{P}{|b|}$.

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

Since, $y=\tan (x)$ have period $\pi$.

So, function in option B will have period $\frac{\pi}{2}$, which is not possible.

Further, function in option D have period $\pi$.

Thus, the equation of the graphed function is, $y=\tan (x-\pi)+2$.

Answer 2

Answer:

On ape*x is y=tan(x-pi)-2