https://file.aiquickdraw.com/mathbot/file/1725388242484yb4yfzcd.jpg

The image shows a scatter plot titled "Stock Price and Time," with data points plotted over time. The x-axis represents "Week," and the y-axis represents "Stock Price (dollars)." The data points form a parabolic shape, where the stock price increases initially, reaches a peak, and then decreases.

The question asks which type of function best models this data. The answer choices are:

A. A quadratic function with a negative value of a  
B. A square root function  
C. A linear function with a positive slope  
D. A quadratic function with a positive value of a  

### Analysis:

The graph appears to resemble a parabola opening downward. This shape indicates a quadratic function where the coefficient of the squared term (a) is negative.

### Correct Answer:

**A. A quadratic function with a negative value of a**

This is because the graph shows a parabolic curve opening downwards, which matches the characteristics of a quadratic function with a negative leading coefficient.

Would you like more details on how to identify the characteristics of different types of functions from a graph, or do you have any other questions?

### Related Questions:
1. How do you determine the direction of a quadratic function from its equation?
2. What are the key differences between linear, quadratic, and square root functions?
3. How does the coefficient "a" affect the shape of a quadratic function?
4. What are real-life applications of modeling data with quadratic functions?
5. How can you use vertex form to determine the maximum or minimum value of a quadratic function?

**Tip:** When identifying the type of function that fits a graph, observe the overall shape and direction of the curve. Quadratic functions form parabolas, while linear functions create straight lines.

Which type of function best models the data shown in the scatter plot of Stock Price and Time?

Explore how to identify the best function model for a company's stock price over time using a scatter plot. Understand the key concepts in quadratic functions and how to interpret graphs. Suitable for students in Grades 8-10.

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