Which of the following functions is the result of the transformation of f(x)=logx. The function f(x) is vertically stretched by a factor of 4, horizontally stretched by a factor of 3, reflected in the y-axis, horizontally translated 5 units to the right and vertically translated 2 units up?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Question 33

Which of the following functions is the result of the transformation of f(x)=logx. The
function f(x) is vertically stretched by a factor of 4, horizontally stretched by a factor
of 3, reflected in the y-axis, horizontally translated 5 units to the right and vertically
translated 2 units up?
) ƒ(x) = −4log[(x − 5)] + 2
f(x)
−4 log[(x −
-
5)] + 2
) f(x) = 4log[(x − 5)] +2
Of(x) = 4log[-3(x − 5)] +2
=
Transcribed Image Text:Which of the following functions is the result of the transformation of f(x)=logx. The function f(x) is vertically stretched by a factor of 4, horizontally stretched by a factor of 3, reflected in the y-axis, horizontally translated 5 units to the right and vertically translated 2 units up? ) ƒ(x) = −4log[(x − 5)] + 2 f(x) −4 log[(x − - 5)] + 2 ) f(x) = 4log[(x − 5)] +2 Of(x) = 4log[-3(x − 5)] +2 =
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