The graph of y = f(x) is shown in blue. Draw the graph of y = f (æ), shown in red, by determining how a stretch or compression will transform the location of the indicated blue points. Drag the movable red points to the desired coordinates. You may click on a point to verify its coordinates.
The graph of y = f(x) is shown in blue. Draw the graph of y = f (æ), shown in red, by determining how a stretch or compression will transform the location of the indicated blue points. Drag the movable red points to the desired coordinates. You may click on a point to verify its coordinates.
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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
Transcribed Image Text:The image displays a coordinate plane graph with two line plots, one in red and the other in blue.
### Graph Description:
- **Axes:**
- The x-axis ranges from -1 to 15, marked at integer intervals.
- The y-axis ranges from -1 to 15, also marked at integer intervals.
- **Red Line Plot:**
- The red line has data points marked at various x-values (1, 2, 3, 5, 7, 10, and 12), aligning with y-values around 5 to 6.
- The plot begins at (1, 5), peaks slightly at (3, 6), declines to (7, 5), ascends to (10, 6), and drops again at (12, 5).
- **Blue Line Plot:**
- The blue line has data points at x-values (1, 2, 3, and 4), aligning with y-values around 1 to 4.
- It starts at (1, 1), rises to (3, 4), and declines linearly back to (4, 1).
The grid lines throughout the graph provide clarity in visualization, aiding in precise data interpretation. This diagram could represent various educational scenarios, such as demonstrating growth trends or comparing different data sets over a fixed period.

Transcribed Image Text:**Graph Transformation Activity**
The graph of \( y = f(x) \) is shown in blue. Your task is to draw the graph of \( y = f\left(\frac{1}{3}x\right) \), shown in red. This involves determining how a stretch or compression will change the location of the indicated blue points. You can move the red points to match the desired coordinates.
### Instructions:
- Click on a point to verify its coordinates.
- Adjust the red points accordingly to reflect the transformation.
### Graph Details:
The grid provided displays axes with intervals marked. The blue points represent the original graph \( y = f(x) \), while the red points are adjustable to illustrate the transformed graph \( y = f\left(\frac{1}{3}x\right) \).
### Graph Analysis:
- **Horizontal Stretch**: The transformation \( y = f\left(\frac{1}{3}x\right) \) will involve a horizontal stretch by a factor of 3.
### Interaction:
Provide your adjustments as indicated below.
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