Given the function , write the equation of the function after it is compressed vertically by a factor of 0.5 and then shifted 3 units to the right. The transformed function is.
Answer & Analysis
Analysis
Question Analysis
This problem evaluates the ability to apply vertical compressions and horizontal shifts to a polynomial function.
Key Concept Explanation
Vertical compressions are represented by , where . Horizontal shifts are represented by , where shifts the graph right and shifts the graph left.
Step-by-step Solution
1. Compress the function vertically by a factor of 0.5:
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