Given the function , find the equation of the function after reflecting it over the x-axis and then shifting it 4 units up. The transformed function is .
Answer & Analysis
Analysis
Question Analysis
This problem evaluates the student's understanding of reflections over the x-axis and vertical shifts applied to a quartic function.
Key Concept Explanation
Reflecting a function over the x-axis changes to . Shifting a function vertically by units changes to . If is positive, the shift is upward.
Step-by-step Solution
1. Reflect the function over the x-axis:
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