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What interval(s) is the function increasing 

The graph in the image shows a parabola opening downward. From the graph, we can observe the behavior of the function.

The function is increasing on the interval where the graph goes upwards as you move from left to right. This happens to the left of the vertex.

### Identifying the vertex:
- The vertex of this parabola is at the point \((0, 4)\).

### Increasing Interval:
- The function is increasing when the \(x\)-values are less than the \(x\)-coordinate of the vertex.
- Therefore, the function is increasing on the interval **\((-∞, 0)\)**.

The function starts decreasing after the vertex, from \(x = 0\) onwards.

Would you like more details or explanations on intervals or parabolas?

Here are 5 questions to expand this information:
1. How can you find the vertex of a parabola algebraically?
2. What are decreasing intervals, and how do they relate to increasing ones?
3. How do you determine the axis of symmetry of a parabola?
4. How do the intervals of increase and decrease relate to the concavity of the function?
5. How do you write the equation of a parabola given its graph?

**Tip**: The derivative of a function tells you whether the function is increasing (positive derivative) or decreasing (negative derivative).

What interval(s) is the function increasing?

Explore how to determine the interval where a quadratic function is increasing, using the vertex and properties of quadratic functions. Suitable for students in Grades 8-10.

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