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4. The logarithmic function y = log₁x has been vertically stretched by a factor of 5, and then reflected in 10 the y-axis. It has also been horizontally translated so that the vertical asymptote is x = 2 and then vertically translated 3 units down. Write an equation of the transformed function, and state its domain and range. Graph the parent function and the transformed one

4. The logarithmic function y = log₁x has been vertically stretched by a factor of 5, and then reflected in 10 the y-axis. It has also been horizontally translated so that the vertical asymptote is x = 2 and then vertically translated 3 units down. Write an equation of the transformed function, and state its domain and range. Graph the parent function and the transformed one

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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4. The logarithmic function y = log, has been vertically stretched by a factor of 5, and then reflected in 10 the y-axis. It has also been horizontally translated so that the vertical asymptote is x = 2 and then vertically translated 3 units down. Write an equation of the transformed function, and state its domain and range. Graph the parent function and the transformed one. -10 -8 -6 -4 -2 10 8 6 4 2 -2 -4 -6 -8 -10 2 4 6 8 10
Transcribed Image Text:4. The logarithmic function y = log, has been vertically stretched by a factor of 5, and then reflected in 10 the y-axis. It has also been horizontally translated so that the vertical asymptote is x = 2 and then vertically translated 3 units down. Write an equation of the transformed function, and state its domain and range. Graph the parent function and the transformed one. -10 -8 -6 -4 -2 10 8 6 4 2 -2 -4 -6 -8 -10 2 4 6 8 10
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