The graph you provided appears to represent the function $y = \frac{1}{x-2}$.

For the function $y = \frac{1}{x-a}$, the vertical asymptote occurs where the denominator equals zero, because division by zero is undefined.

In your case:

$x - 2 = 0$

Solving for $x$, we get:

$x = 2$

Thus, the vertical asymptote of the function is at $x = 2$.

Would you like further details on this, or do you have any other questions?

Here are five related questions you might consider:

1. What happens to the function as $x$ approaches the vertical asymptote from the left and right?
2. How do you find horizontal asymptotes for rational functions?
3. What are the general steps to determine all asymptotes for a given function?
4. Can a function have more than one vertical asymptote?
5. What is the behavior of $y = \frac{1}{x-2}$ as $x$ approaches infinity or negative infinity?

Tip: When dealing with rational functions, always check where the denominator is zero to find potential vertical asymptotes.