Question

Choose the function whose graph is given by:

Answer 1

I think its b but I might be wrong

Answer 2

`y=2\sec (2x)`

Explanation:

We are given a graph of trigonometric function.

As per graph it's look like sec x graph.

First we draw sec x graph and then translate it.

In graph we can see
`x=(\pi)/(4)` is vertical asymptote.

But in sec x graph vertical asymptote at
`x=(\pi)/(2)` .

y-intercept of sec x graph at (0,1)

But in given graph y-intercept (0,2)

`y=\sec x`

Change in y-intercept

`y=2\sec x`

Change in vertical asymptote

`y=2\sec(2x)`

Thus, Required equation of given graph would be
`y=2\sec(2x)`