https://file.aiquickdraw.com/mathbot/file/17258299613900ppbmkfd.jpg

The image shows a graph of a quadratic function and several questions related to its properties. The function appears to be a parabola, and the tasks involve determining intervals of increase/decrease and possibly identifying key features like the vertex, axis of symmetry, and range.

To proceed, let's analyze the graph and the questions:

1. **Vertex:** The vertex of the parabola is the highest or lowest point, depending on the direction the parabola opens. Since this parabola opens upwards (as indicated by the U-shape), the vertex is the minimum point.
   
2. **Increasing/Decreasing Intervals:** 
   - The graph is decreasing on the interval from negative infinity to the x-coordinate of the vertex.
   - The graph is increasing on the interval from the x-coordinate of the vertex to positive infinity.

3. **Range:** The range of the function will be from the y-coordinate of the vertex to positive infinity (since the parabola opens upwards).

### Analysis Steps:
1. **Locate the vertex on the graph** to determine the exact coordinates.
2. **Identify the axis of symmetry**, which passes through the vertex (it will be vertical).
3. **Determine the intervals** where the function is increasing and decreasing.
4. **Calculate the range** using the y-coordinate of the vertex.

Would you like me to extract the exact details and provide precise answers, or do you want guidance on how to solve it yourself?

Analyze the graph of a quadratic function and determine the vertex, increasing/decreasing intervals, and range.

Learn how to analyze a quadratic function's graph, identify its vertex, determine intervals of increase and decrease, and calculate its range. This guide walks through essential algebraic concepts suitable for Grades 8-10.

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