Given the function , find the equation of the function after reflecting it over the x-axis and then shifting it 2 units to the right. The transformed function is .
Answer & Analysis
Analysis
Question Analysis
This problem assesses the understanding of reflections and horizontal shifts in polynomial functions.
Key Concept Explanation
Reflecting a function over the x-axis involves multiplying the function by -1, resulting in . Horizontal shifts are represented by , where a positive shifts the graph to the right and a negative shifts it to the left.
Step-by-step Solution
1. Reflect over the x-axis: Multiply the function by -1, resulting in
2. Shift 2 units to the right: Replace
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