From the graph you uploaded, the vertical asymptotes are the lines where the function tends towards infinity (positive or negative) as the x-values approach specific points.

In this graph, I observe two vertical asymptotes:

1. One at $x = -3$, where the function goes to positive infinity as you approach from the left and negative infinity from the right.
2. Another at $x = 2$, where the function dips sharply towards negative infinity on one side and positive infinity on the other.

Therefore, the vertical asymptotes are: $x = -3 \quad \text{and} \quad x = 2$

Do you want further explanation or have any questions?

Here are some related questions to think about:

1. What causes vertical asymptotes in rational functions?
2. Can there be more than two vertical asymptotes in a function?
3. How does a graph behave near vertical asymptotes?
4. Are there other types of asymptotes besides vertical ones?
5. How can you determine vertical asymptotes algebraically from a function?

Tip: Vertical asymptotes typically occur where the denominator of a rational function equals zero, but the numerator doesn't.