The function f(x) = log₂x is transformed 4 units down and vertically compressed by a factor of 0.2 to become g(x). Which function represents the transformation g(x)? O g(x) = -4log₂ (x) ○ g(x) = log₂ (x − 4) -/- O g(x) = -4 log₂ (x + 1/3) O g(x) = log₂ (x) - 4

The function f(x) = log₂x is transformed 4 units down and vertically compressed by a factor of 0.2 to become g(x). Which function represents the transformation g(x)? O g(x) = -4log₂ (x) ○ g(x) = log₂ (x − 4) -/- O g(x) = -4 log₂ (x + 1/3) O g(x) = log₂ (x) - 4

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.6: Exponential And Logarithmic Equations

Problem 17E

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Question

Which function represents the transformation g (x)?

The function f(x) = log₂ x is
transformed 4 units down and
vertically compressed by a factor of
0.2 to become g(x).
Which function represents the
transformation g(x)?
○ g(x) = -4log₂ (x)
○ g(x) =
O
-
log₂ (x-4)
○ g(x) =
−4log₂ (x + / -)
g(x) = log₂ (x) - 4
og

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