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graph of the linear relationship shown to complete each task. YA Write the equation of the line. y=6x Write the equation of the line after a vertical translation of -8 units. Graph the line. -16-12 16 12+ 8+ + -4 H O -4 -8+ 4

graph of the linear relationship shown to complete each task. YA Write the equation of the line. y=6x Write the equation of the line after a vertical translation of -8 units. Graph the line. -16-12 16 12+ 8+ + -4 H O -4 -8+ 4

Algebra and Trigonometry (6th Edition)
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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**Lesson 4 Assignment (Continued)** 2. Use the graph of the linear relationship shown to complete each task. a. Write the equation of the line. \( y = \frac{6}{6}x \) b. Write the equation of the line after a vertical translation of -8 units. Graph the line. c. Write the equation of the line after a vertical translation of 8 units. Graph the line. d. Describe the graphical relationship among the lines. Explain your reasoning. --- **Graph Explanation:** The graph included shows a straight line on a coordinate plane. The x-axis ranges from -16 to 16, and the y-axis ranges from -16 to 16 as well. The line shown has a positive slope, indicating a direct relationship between x and y. --- **Stretch (Optional)** For each given sequence of transformations, are the equations the same? Explain why the equations are the same or why they are not the same. Use transformations to support your answer. 1. Vertically translate \( y = x \) by 4 units, and then vertically dilate by a factor of 2. 2. Vertically dilate \( y = x \) by a factor of 2, and then vertically translate by 4 units.
Transcribed Image Text:**Lesson 4 Assignment (Continued)** 2. Use the graph of the linear relationship shown to complete each task. a. Write the equation of the line. \( y = \frac{6}{6}x \) b. Write the equation of the line after a vertical translation of -8 units. Graph the line. c. Write the equation of the line after a vertical translation of 8 units. Graph the line. d. Describe the graphical relationship among the lines. Explain your reasoning. --- **Graph Explanation:** The graph included shows a straight line on a coordinate plane. The x-axis ranges from -16 to 16, and the y-axis ranges from -16 to 16 as well. The line shown has a positive slope, indicating a direct relationship between x and y. --- **Stretch (Optional)** For each given sequence of transformations, are the equations the same? Explain why the equations are the same or why they are not the same. Use transformations to support your answer. 1. Vertically translate \( y = x \) by 4 units, and then vertically dilate by a factor of 2. 2. Vertically dilate \( y = x \) by a factor of 2, and then vertically translate by 4 units.
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