Algebra-2

To determine the correct transformation for the function after it is reflected across the x-axis, stretched vertically by a factor of 4, and shifted 1 unit down, let's analyze each transformation step-by-step.

 

Reflection across the x-axis:

Reflecting across the x-axis changes to .

 

Vertical Stretch by a Factor of 4:

A vertical stretch by a factor of 4 is achieved by multiplying the entire logarithmic expression by 4. So,

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