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The graph of the function f(x) = log5 (x) is stretched vertically by a factor of 8, shifted to the right by 4 units, and shifted up by 2 units.

The graph of the function f(x) = log5 (x) is stretched vertically by a factor of 8, shifted to the right by 4 units, and shifted up by 2 units.

Calculus: Early Transcendentals
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 the function f(x) = log5 (x) is stretched vertically by a factor of 8, shifted to the right by 4 units, and shifted up by 2 units. Which of the answer choices gives the equation of the function g(x) described above? Select the correct answer below: O g(x) = 8 log5 (x-4) + 2 O g(x) = 8 log5 (x+4) + 2 O g(x) = -8 log5 (x + 2) + 4 O g(x) = -8 log5 (x + 4) - 2 O g(x) = -8 log5 (x − 2) + 4 - O g(x) = 8 log5 (x − 4) - 2
Transcribed Image Text:The graph of the function f(x) = log5 (x) is stretched vertically by a factor of 8, shifted to the right by 4 units, and shifted up by 2 units. Which of the answer choices gives the equation of the function g(x) described above? Select the correct answer below: O g(x) = 8 log5 (x-4) + 2 O g(x) = 8 log5 (x+4) + 2 O g(x) = -8 log5 (x + 2) + 4 O g(x) = -8 log5 (x + 4) - 2 O g(x) = -8 log5 (x − 2) + 4 - O g(x) = 8 log5 (x − 4) - 2
Expert Solution
Step 1

Recall y=cf(x)  stretch the graph of y=f(x) vertically  by  a factor  Cy=f(x-c)   shifted  the graph  y=f(x)    c unit right y=f(x)+c  shifted the graph y=f(x)  c units up

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