Given the function , find the equation of the function after reflecting it over the y-axis and then shifting it 5 units down. The transformed function is .
Answer & Analysis
Analysis
Question Analysis
This problem assesses the understanding of transformations on polynomial functions, specifically reflections and vertical shifts.
Key Concept Explanation
Reflecting a function over the y-axis changes to . Shifting a function vertically by units changes to . If is negative, the shift is downward.
Step-by-step Solution
1. Reflect the function over the y-axis:
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