Given the parent function , write the equation of the transformed function after a reflection over the x-axis and a vertical shift down by 7 units. The transformed function is .
Answer & Analysis
Analysis
Question Analysis
This question tests the understanding of function transformations, specifically reflection over the x-axis and vertical shift.
Key Concept Explanation
A reflection over the x-axis means that the function is flipped vertically. A shift down by 7 units means that the entire graph is moved 7 units downwards.
Step-by-step Solution
1. Start with the parent function:
2. Apply the reflection over the x-axis:
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