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

Below are the transformation made to the graph f(x) to obtain g(x).

Answered: Below are the graphs f(x) = |x| and its…

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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1 -x + 2. No work needs to be shown for this problem. 2 Sketch a graph of f(x) -2 -1 3 -1 -2 -3 -4
Graphs of y=f(x) and y=g(x) are shown below. The graph of y=g(x) may be obtained from the graph of y=f(x) by one or more transformations; hence, find an expression for g(x) in terms of f(x). You MUST state the transformations that must be performed and the order in they are performed to obtain the graph of g(x) from the graph of f(x). Note: Do not attempt to find formulas for f(x) or g(x). 4 y = f(x) • y =, -2. 0 -2 -2 -2
f(x)= x2+4 for xeR g(x)= 3x-1 for xeR h(x)= 4-In(x+2) Sketch the graph of h(x). Apply appropriate transformation method to draw the graph. Show all the functions on one graph, plot at least one point for each function, and label the functions with its equation
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Write the equation for the graph of g(x) as a transformation of the equation for the graph of f(x). In the form of y = af (b(x-h)) + k. g(x) (-9,0) -10 5 (-2,0) (3,0) -5 (0,-6) 0 -10- -15 (0₁-12) f(x) (6,0) 10
Given the graphs of f(x) and g(x) below, find the composition of functions f(g(4)). g(x) XX -1 01 4 f(x) Select the correct answer below: O f(g(4)) = -3 O f(g(4)) = -4 O f(g(4)) = -2 O f(g(4)) = -1 O f(g(4)) = 1

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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