Given the parent function , write the equation of the transformed function after a reflection over the y-axis and a shift right by 5 units. The transformed function is .
Answer & Analysis
Analysis
Question Analysis
This question tests the student's understanding of horizontal transformations, specifically reflection over the y-axis and horizontal shift. The student must correctly apply the transformation rules to the parent function.
Key Concept Explanation
Reflection over the y-axis means replacing with in the function. A shift right by 5 units means replacing with .
Step-by-step Solution
1. Start with the parent function:
2. Apply the reflection over the y-axis:
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