The function is first vertically compressed by a factor of , then shifted 2 units to the left. The resulting function is .
Answer & Analysis
Analysis
Question Analysis
This question involves vertical compression and horizontal shifting of a linear function. The main focus is on finding the resulting function after applying these two transformations in order.
Key Concept Explanation
Vertical Compression: For , a vertical compression by factor (where ) gives .
Horizontal Shift: Shifting left by units replaces with , resulting in .
Step-by-Step Solution
1. Original function:
2. Vertical compression by :
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