How do you create a quartic formula using the data points provided in the image below?

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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How do you create a quartic formula using the data points provided in the image below?

**Scatter Plot Fitting Guide**

Create a scatter plot using your data from part A with the tool’s data feature. Manually fit various types of functions to the data by utilizing the sliders for the specified parent functions.

**Steps to Follow:**
- Adjust the upper and lower values of each slider before fitting a function to the plotted data.
- Narrowing the slider interval allows for precise and gradual adjustments.
- Widening the slider interval moves the function more extensively and in coarser increments.

**Graph Explanation:**
- The graph displays a scatter plot with orange data points at coordinates (0, 3), (1, 10), (2, 4), (3, 14), (4, 4), and (5, 3.5).
- Two functions are plotted over the scatter plot:
  - A blue function line uses the form \( y = a \sqrt{bx} + c + d \).
  - An orange function line may represent another form of fitting.

**Function Fitting Options:**
- The tool provides several function forms to choose from, including those involving square roots and logarithms, allowing for flexibility in data representation.
- Sliders allow adjustments in the constants for these functions, optimizing fit to the data.

**Data Table:**
- A table next to the graph shows the x and y values of the plotted data points.

This interactive approach facilitates understanding of function fitting and the impact of parameter changes on graph shapes.
Transcribed Image Text:**Scatter Plot Fitting Guide** Create a scatter plot using your data from part A with the tool’s data feature. Manually fit various types of functions to the data by utilizing the sliders for the specified parent functions. **Steps to Follow:** - Adjust the upper and lower values of each slider before fitting a function to the plotted data. - Narrowing the slider interval allows for precise and gradual adjustments. - Widening the slider interval moves the function more extensively and in coarser increments. **Graph Explanation:** - The graph displays a scatter plot with orange data points at coordinates (0, 3), (1, 10), (2, 4), (3, 14), (4, 4), and (5, 3.5). - Two functions are plotted over the scatter plot: - A blue function line uses the form \( y = a \sqrt{bx} + c + d \). - An orange function line may represent another form of fitting. **Function Fitting Options:** - The tool provides several function forms to choose from, including those involving square roots and logarithms, allowing for flexibility in data representation. - Sliders allow adjustments in the constants for these functions, optimizing fit to the data. **Data Table:** - A table next to the graph shows the x and y values of the plotted data points. This interactive approach facilitates understanding of function fitting and the impact of parameter changes on graph shapes.
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