Algebra-2

Question Analysis
This question involves vertical stretches, y-axis reflections, and horizontal left shifts of .
The main focus is on finding the coefficient inside the square root that represents the y-axis reflection, accounting for the horizontal shift.

Key Concept Explanation
For (factored form for horizontal shifts):
Y-axis reflection: (multiplies the entire term inside the square root).
Horizontal left shift of 2 units: (so ), which combines with to give .

Step-by-Step Solution
Vertical stretch by 6: Multiply by 6: .
Y-axis reflection: Replace x with : .
Horizontal left shift of 2: Replace x with :

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