Below are the graphs \( f(x) = |x| \) and its transformation \( g(x) \).What is the equation for \( g(x) \)?### Graph ExplanationThe first graph displays the absolute value function \( f(x) = |x| \), which is a V-shaped graph symmetric with respect to the y-axis. The vertex of the graph is at the origin (0,0), and it opens upwards.The second graph shows a transformed version of the absolute value function. It appears to be flipped vertically and shifted horizontally to the left and possibly shifted vertically.### Multiple Choice Options- \( g(x) = |x + 3| + 2 \)- \( g(x) = |-x + 3| + 2 \)- \( g(x) = -|x| + 2 \)- \( g(x) = -|x + 3| + 2 \)The task is to identify the correct equation for \( g(x) \) based on the transformation of the original graph \( f(x) = |x| \).

Answered: Image /qna-images/answer/06b1e8f8-ed53-42c5-a14e-ead1a17c48ff.jpg

Below are the graphs f(x) = |x|and its transformation g (x). What is the equation for g(x). -5 -4 -3 -1 3 -4 -4 -5 f(x) = |x| g(x) = ? O g (a) = |æ + 3| + 2 O g (x) = |- æ + 3| + 2 O g(x) = -læl + 2

Below are the graphs f(x) = |x|and its transformation g (x). What is the equation for g(x). -5 -4 -3 -1 3 -4 -4 -5 f(x) = |x| g(x) = ? O g (a) = |æ + 3| + 2 O g (x) = |- æ + 3| + 2 O g(x) = -læl + 2

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

Below are the graphs \( f(x) = |x| \) and its transformation \( g(x) \).

What is the equation for \( g(x) \)?

### Graph Explanation

The first graph displays the absolute value function \( f(x) = |x| \), which is a V-shaped graph symmetric with respect to the y-axis. The vertex of the graph is at the origin (0,0), and it opens upwards.

The second graph shows a transformed version of the absolute value function. It appears to be flipped vertically and shifted horizontally to the left and possibly shifted vertically.

### Multiple Choice Options

- \( g(x) = |x + 3| + 2 \)
- \( g(x) = |-x + 3| + 2 \)
- \( g(x) = -|x| + 2 \)
- \( g(x) = -|x + 3| + 2 \)

The task is to identify the correct equation for \( g(x) \) based on the transformation of the original graph \( f(x) = |x| \).

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