What is the equation of the following graph?

1. f(x) = tan x-2
2. f(x) = tan x + 2
3. f(x) = 2tan x
4. f(x) = tan x -3

The required function is F(x) = tanx - 2.

Step-by-step explanation:

We all know the graph of tanx ,

The graph of tanx passes through the origin and repeats in the interval of π.

Now , after looking into the graph we can clearly say that it is the shifted graph of tanx , Which is shifted in the -y direction .

Thus ,

It is clear that F(x) must be like F(x) = tanx - c , where c is a positive constant .

Also, At x = 0 , Value of the function is coming out to be -2 ,

Putting x = 0 in F(x) = tanx - c , we get , F(x) = -c .

Thus c = 2.

So, the required function is F(x) = tanx - 2.