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From the graph of the function, we need to determine the domain where the function is increasing.

### Step 1: Analyze the graph
The graph shows a parabola opening downwards. The function is increasing where the graph moves upward from left to right. This happens from the leftmost point until the vertex.

- **Vertex:** The vertex of this parabola appears to be around \( x = -2 \).
- **Increasing interval:** The function is increasing from \( x = -\infty \) (far left) until \( x = -2 \) (vertex).

### Step 2: Domain of increase
Based on the graph, the function is increasing on the interval:
\[
(-\infty, -2)
\]

Would you like more details or have any questions?

Here are some related questions:
1. What is the domain where the function is decreasing?
2. How can you determine intervals of increasing and decreasing from a function's derivative?
3. How does the vertex affect the behavior of quadratic functions?
4. How can we algebraically find the vertex of a parabola?
5. What are some real-world applications of identifying increasing and decreasing functions?

**Tip:** Always check the turning point (vertex) of a parabola to identify where the function changes from increasing to decreasing, or vice versa.

Determine the domain on which the following function is increasing.

Learn how to analyze a quadratic function's graph to determine the domain where the function is increasing. This problem covers concepts such as intervals of increase, decreasing intervals, and properties of quadratic functions. Suitable for students in Grades 9-11.

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