To determine $H(-4)$ from the graph, we need to observe the point where $x = -4$ and identify the corresponding $y$-coordinate.

• Looking at the graph, at $x = -4$, the graph intersects the y-axis at approximately $y = 2$.

Thus, $H(-4) = 2$.

Do you have any other questions or need more details?

Here are 5 related questions you might explore:

1. What is the value of $H(0)$ based on the graph?
2. Does the graph of $H(x)$ have any symmetry (even or odd)?
3. What are the local maxima and minima of the function?
4. Can you estimate $H(2)$ or other nearby values?
5. How would you identify the intervals where $H(x)$ is increasing or decreasing?

Tip: Pay close attention to how the graph behaves at critical points (where it changes direction) to identify local maxima, minima, and inflection points.