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A The graph shows g (z) which is a translation of f (x) = |z|. Write the function rule for g (z). DRAG & DROP THE ANSWER g(x) = |x| g(x) = |x-4 g(x) = |x| +4 g(x)=x+4| Note: Use CTRL+D to drag the option via keyboard -10 16 -6 4 2 101 0 -2 8 6 2 g(x) 4 76 8 10

A The graph shows g (z) which is a translation of f (x) = |z|. Write the function rule for g (z). DRAG & DROP THE ANSWER g(x) = |x| g(x) = |x-4 g(x) = |x| +4 g(x)=x+4| Note: Use CTRL+D to drag the option via keyboard -10 16 -6 4 2 101 0 -2 8 6 2 g(x) 4 76 8 10

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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**Question 8:** The graph shows \( g(x) \), which is a translation of \( f(x) = |x| \). Write the function rule for \( g(x) \). **Drag & Drop the Answer:** - \( g(x) = |x| \) - \( g(x) = |x - 4| \) - \( g(x) = |x| + 4 \) - \( g(x) = |x + 4| \) Note: Use CTRL+D to drag the option via keyboard. **Graph Explanation:** The graph displays a V-shaped function labeled \( g(x) \), which represents a transformation of the parent function \( f(x) = |x| \). The vertex of the V is located at the point (4,0) on the graph, indicating a horizontal shift of 4 units to the right from the origin. The arms of the V extend upwards in both directions, symmetrical about the vertical axis through x = 4.
Transcribed Image Text:**Question 8:** The graph shows \( g(x) \), which is a translation of \( f(x) = |x| \). Write the function rule for \( g(x) \). **Drag & Drop the Answer:** - \( g(x) = |x| \) - \( g(x) = |x - 4| \) - \( g(x) = |x| + 4 \) - \( g(x) = |x + 4| \) Note: Use CTRL+D to drag the option via keyboard. **Graph Explanation:** The graph displays a V-shaped function labeled \( g(x) \), which represents a transformation of the parent function \( f(x) = |x| \). The vertex of the V is located at the point (4,0) on the graph, indicating a horizontal shift of 4 units to the right from the origin. The arms of the V extend upwards in both directions, symmetrical about the vertical axis through x = 4.
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