To determine the correct transformation for
the function after it is reflected across the x-axis, stretched
horizontally 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 .
Horizontal Stretch by a Factor of 4:
A horizontal stretch by a factor of 4 is
achieved by replacing x with .
So,