Question

The parent function f(x) = log4x ha been tranformed by reflecting it over the x-axi, tretching it vertically by a factor of two and hifting it up five unit. Which function i repreentative of thi tranformation?

a. G(x) = log4(2x) 5
b. G(x) = 2log4(x) - 5
c. G(x) = -2log4(x) 5
d. G(x) = log4(-2x) - 5

Answer 1

The function that is representative of the transformation is -2log(4x)- 5

The transformation provides the reflection over the x-axis:

f₁(x) = - f(x)

Consequently, the first action is:

f₁(x) = - log(4x)

The following transformation stretches the y-axis by n times:

f₂(x) = n · f₁(x)

As a result, we get:

f₂(x) = -2log(4x)

The formula for descending a function of a number n is as follows:

f₃(x) = f₂(x) - n

Therefore:

f₃(x) =-2log(4x)- 5

The function that is representative of the transformation is -2log(4x)- 5

Hence, the correct answer is C) g(x) =-2log(4x)- 5

To learn more about transformation click here:

brainly.com/question/11709244

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