Below are the graphs f(x) = |x| and its transformation g (x). What is the equation for g(x). 3 -3 4 4 f(x) = |x| g(x) = ? O g(x) = |x + 3| + 2 O g (x) = -|x + 3| + 2 O g(x) = -|x| +2 O g (x) = | – x + 3| + 2
Below are the graphs f(x) = |x| and its transformation g (x). What is the equation for g(x). 3 -3 4 4 f(x) = |x| g(x) = ? O g(x) = |x + 3| + 2 O g (x) = -|x + 3| + 2 O g(x) = -|x| +2 O g (x) = | – x + 3| + 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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Transcribed Image Text:Below are the graphs \( f(x) = |x| \) and its transformation \( g(x) \).
What is the equation for \( g(x) \)?
**Graph Descriptions:**
- The graph of \( f(x) = |x| \) is a V-shaped graph with its vertex at the origin (0,0). It extends upwards, with equal slopes on both sides, through points like (-3,3) and (3,3).
- The graph of \( g(x) \) has a vertex shifted to (-3,2) and opens downwards, creating an inverted V-shape.
**Options for \( g(x) \):**
1. \( g(x) = |x + 3| + 2 \)
2. \( g(x) = -|x + 3| + 2 \)
3. \( g(x) = -|x| + 2 \)
4. \( g(x) = |-x + 3| + 2 \)
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