Answer
The equation is: $f(x) = sec~2x$
Work Step by Step
The graph has the basic shape of a secant graph.
However, compared with the standard secant graph, the first positive asymptote occurs at $x = \frac{\pi}{4}$ instead of $x = \frac{\pi}{2}$. Therefore, we need to include an angle of $2x$ in the function.
The equation is: $f(x) = sec~2x$