https://file.aiquickdraw.com/mathbot/file/17307325954325remy0bq.jpg

To determine the maximum value of the function shown on the graph, let's analyze the image.

The graph depicts a parabola that opens downward, meaning it has a maximum point (the vertex) rather than a minimum. Observing the graph, the vertex of the parabola appears to be at the point \( (0, 5) \).

Thus, the maximum value of the function, represented by the \( y \)-coordinate of the vertex, is **5**.

However, this answer (5) does not appear among the given options:
- A: \(-1\)
- B: \(-2\)
- C: \(0\)
- D: \(1\)

It seems there may be an issue with the options, as none of them correctly reflects the maximum value of 5 based on the graph.

Would you like further clarification or have any questions?

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### Related Questions
1. How can we determine the vertex of a parabola given its equation?
2. What is the difference between the maximum and minimum points on a function's graph?
3. How do we identify if a parabola opens upwards or downwards?
4. What techniques can we use to find the range of a function based on its graph?
5. How do transformations affect the vertex of a quadratic function?

### Tip
For any parabola in the form \( y = ax^2 + bx + c \), if \( a < 0 \), it opens downward, and the vertex gives the maximum value.

What is the maximum value of the function shown on the graph?

Determine the maximum value of a quadratic function shown in a graph. Analyze the vertex to find the peak point for a downward-opening parabola. Suitable for students in Grades 9-10 studying algebra and quadratic functions.

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