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C D HCS Bookmarks testing.illuminateed.com/assessment/636e95d13e1f467e078b57c1/636e95d33e1f467e078b57c2/20?rldbqn=1 Login i! Definite Articles in... Se classroom.google.c... HCS 22-23_Algebra II_Unit 6 44 Question 20 V Ⓒ2022 Pause The graph of f(x) = x in Graph A was translated and dilated to form the graph of g (x), shown below in Graph B. Graph B Q Zoom • What is the vertical shift between Graph A and Graph B? What is the horizontal shift between Graph A and Graph B? Illuminate Education TM, Inc.

C D HCS Bookmarks testing.illuminateed.com/assessment/636e95d13e1f467e078b57c1/636e95d33e1f467e078b57c2/20?rldbqn=1 Login i! Definite Articles in... Se classroom.google.c... HCS 22-23_Algebra II_Unit 6 44 Question 20 V Ⓒ2022 Pause The graph of f(x) = x in Graph A was translated and dilated to form the graph of g (x), shown below in Graph B. Graph B Q Zoom • What is the vertical shift between Graph A and Graph B? What is the horizontal shift between Graph A and Graph B? Illuminate Education TM, Inc.

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Functions And Their Graphs
Section2.4: A Library Of Parent Functions
Problem 47E: During a nine-hour snowstorm, it snows at a rate of 1 inch per hour for the first 2 hours, at a rate...
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Question
 What is the vertical and horizontal shift between graph a and b?  Write the equation of the new function g(x) as represented in graph B.  What dilation factor is applied f(x)=|x| in graph a to form g(x) in graph b 
**Graph Analysis and Transformation** The graph of \( f(x) = |x| \) in Graph A was translated and dilated to form the graph of \( g(x) \), shown below in Graph B. **Graph B: Explanation** Graph B is a coordinate plane with two axes: x and y. The graph depicts a V-shaped line characteristic of absolute value functions but is shifted. The vertex of the V is positioned at coordinate (-3, 0), suggesting a horizontal shift. The arms of the V extend upwards, passing through the points like (-2, 1) and (-4, 1), maintaining a slope of 1 or -1 depending on the direction. **Questions for Analysis:** - What is the vertical shift between Graph A and Graph B? - What is the horizontal shift between Graph A and Graph B? ©2022 Illuminate Education™, Inc.
Transcribed Image Text:**Graph Analysis and Transformation** The graph of \( f(x) = |x| \) in Graph A was translated and dilated to form the graph of \( g(x) \), shown below in Graph B. **Graph B: Explanation** Graph B is a coordinate plane with two axes: x and y. The graph depicts a V-shaped line characteristic of absolute value functions but is shifted. The vertex of the V is positioned at coordinate (-3, 0), suggesting a horizontal shift. The arms of the V extend upwards, passing through the points like (-2, 1) and (-4, 1), maintaining a slope of 1 or -1 depending on the direction. **Questions for Analysis:** - What is the vertical shift between Graph A and Graph B? - What is the horizontal shift between Graph A and Graph B? ©2022 Illuminate Education™, Inc.
The graph of \( f(x) = |x| \) is shown below in Graph A. **Graph A Description:** Graph A depicts the function \( f(x) = |x| \), which is a V-shaped graph. The vertex of the graph is at the origin (0,0). The graph has two linear portions: one rising rightwards from the vertex with a slope of 1, and the other falling leftwards with a slope of -1. The x-axis ranges from -9 to 9, and the y-axis ranges from -9 to 9. The graph of \( f(x) = |x| \) in Graph A was translated and dilated to form the graph of \( g(x) \), shown below in Graph B. **Graph B Description:** Graph B is not visible in this image, but it represents a transformation of the original function \( f(x) = |x| \). ©2022 Illuminate Education, Inc.
Transcribed Image Text:The graph of \( f(x) = |x| \) is shown below in Graph A. **Graph A Description:** Graph A depicts the function \( f(x) = |x| \), which is a V-shaped graph. The vertex of the graph is at the origin (0,0). The graph has two linear portions: one rising rightwards from the vertex with a slope of 1, and the other falling leftwards with a slope of -1. The x-axis ranges from -9 to 9, and the y-axis ranges from -9 to 9. The graph of \( f(x) = |x| \) in Graph A was translated and dilated to form the graph of \( g(x) \), shown below in Graph B. **Graph B Description:** Graph B is not visible in this image, but it represents a transformation of the original function \( f(x) = |x| \). ©2022 Illuminate Education, Inc.
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