The graph of f(x) is shifted left 5 units, down 8 units, stretched horizontally by a factor of 6, and reflected over the x-axis to arrive at the graph of g(x). What is the rule for g(x)? A g(x)=x+5)+8 B g(x)=x+5)- с D g(x)=f(6x-5)+8 g(x) = -f(6x-5)-8

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The graph of \( f(x) \) is shifted left 5 units, down 8 units, stretched horizontally by a factor of 6, and reflected over the x-axis to arrive at the graph of \( g(x) \).

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

A. \( g(x) = -f\left(\frac{1}{6}x + 5\right) + 8 \)

B. \( g(x) = -f\left(\frac{1}{6}x + 5\right) - 8 \)

C. \( g(x) = -f(6x - 5) + 8 \)

D. \( g(x) = -f(6x - 5) - 8 \)

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Transcribed Image Text:The graph of \( f(x) \) is shifted left 5 units, down 8 units, stretched horizontally by a factor of 6, and reflected over the x-axis to arrive at the graph of \( g(x) \). What is the rule for \( g(x) \)? A. \( g(x) = -f\left(\frac{1}{6}x + 5\right) + 8 \) B. \( g(x) = -f\left(\frac{1}{6}x + 5\right) - 8 \) C. \( g(x) = -f(6x - 5) + 8 \) D. \( g(x) = -f(6x - 5) - 8 \) [Options include checkboxes for selection.]
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