Algebra-2

Question Analysis
This question involves horizontal stretches and vertical downward shifts of .
The main focus is on finding the coefficient inside the square root that represents the horizontal stretch factor.

Key Concept Explanation
For (from ):
Horizontal stretch: , where .
Vertical shift (here, ) does not affect the horizontal stretch.

Step-by-Step Solution
Horizontal stretch by 8: , so becomes .
Vertical shift 4 units down: Subtract 4, resulting in

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