Given the function , write the equation of the function after it is stretched vertically by a factor of 2 and then shifted 4 units down. The transformed function is.
Answer & Analysis
Analysis
Question Analysis
This problem tests the ability to apply vertical stretches and vertical shifts to a polynomial function.
Key Concept Explanation
Vertical stretches are represented by , where stretches the graph and compresses the graph. Vertical shifts are represented by , where shifts the graph up and shifts the graph down.
Step-by-step Solution
1. Stretch the function vertically by a factor of 2:
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