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The graph of f(x) = x³ is reflected over the y-axis, vertically stretched by by a fac- tor of 4, then shifted right 3 units and up 2 units to arrive at the graph of g(x). What is the rule for g(x)? A g(x)=(x+3)³ +2 B g(x) = 4(-x-3)³ +2 C g(x)=(-x-3)³ +2 D g(x) = 4(-x+3)³ +2

The graph of f(x) = x³ is reflected over the y-axis, vertically stretched by by a fac- tor of 4, then shifted right 3 units and up 2 units to arrive at the graph of g(x). What is the rule for g(x)? A g(x)=(x+3)³ +2 B g(x) = 4(-x-3)³ +2 C g(x)=(-x-3)³ +2 D g(x) = 4(-x+3)³ +2

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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The graph of f(x) = x³ is reflected over the y-axis, vertically stretched by by a fac- tor of 4, then shifted right 3 units and up 2 units to arrive at the graph of g(x). What is the rule for g(x)? A g(x)=(-x+3)³ +2 B g(x)=4(-x-3)³ +2 C g(x)=(x-3)³ +2 D g(x)=4(-x+3)³ +2
Transcribed Image Text:The graph of f(x) = x³ is reflected over the y-axis, vertically stretched by by a fac- tor of 4, then shifted right 3 units and up 2 units to arrive at the graph of g(x). What is the rule for g(x)? A g(x)=(-x+3)³ +2 B g(x)=4(-x-3)³ +2 C g(x)=(x-3)³ +2 D g(x)=4(-x+3)³ +2
Expert Solution
Step 1: concept.

The original function is f(x) Then

  1. f(-x) reflects the graph about y-axis.
  2. k f(x) stretches the graph of f(x) by a factor of k.
  3. f(x-k) shifts the graph of f(x) right by k units
  4. f(x)+k shifts the graph of f(x) up by k units.
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