Question

Choose the function whose graph is given by:

Answer 1

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

Answer 2

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`.