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. 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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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.

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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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.

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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