The problem is asking to find $g(8) \cdot h(0)$ in simplified form, using the given graph and the table.

To solve this:

1. Find $h(0)$: From the graph of $h(x)$, find the value of the function at $x = 0$. Looking at the graph, $h(0)$ corresponds to the value on the graph where $x = 0$. The graph shows that $h(0) = 4$.

2. Find $g(8)$: From the table, find the value of $g(x)$ when $x = 8$. Looking at the table, we see that $g(8) = -7$.

Now, calculate the product: $g(8) \cdot h(0) = (-7) \cdot 4 = -28$

So, the simplified result is $\boxed{-28}$.

Would you like further details or clarification? Here are some related questions you might find useful:

1. How do you evaluate a function from a graph?
2. What is the definition of a composite function?
3. How can you interpret function values from a table?
4. What is the difference between a function’s graph and its table of values?
5. How would you find other values like $g(-4)$ or $h(2)$ from the table and graph?

Tip: Always check the graph carefully to ensure the values match the function at the specific x-coordinate you are asked to evaluate.