Given the parent function , write the equation of the transformed function after a reflection over the y-axis and a horizontal stretch by a factor of 4. The transformed function is .
Answer & Analysis
Analysis
Question Analysis
This question tests the student's understanding of horizontal transformations of functions, specifically reflection over the y-axis and horizontal stretch.
Key Concept Explanation
The general form of a transformed function is given by . For this problem, we focus on the horizontal reflection and the horizontal stretch.
Step-by-step Solution
1. Identify the parent function: .
2. Apply the reflection over the y-axis: Change
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