Choose the function whose graph is given by:

Question

asked Mar 22, 2020 225k views

2 Answers

Andrew Malta · Answer 1 · 2020-03-28T19:53:09+0000

Answer:

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

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
(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
$(\pi)/(2)$ , which is not possible.

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

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