Given the parent function , write the equation of the transformed function after a horizontal stretch by a factor of 5, a reflection over the x-axis, and a shift right by 4 units. The transformed function is .
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to handle horizontal stretches, reflections over the x-axis, and horizontal shifts.
Key Concept Explanation
The general form of a transformed function is given by . Here, we focus on horizontal transformations and their effects on the parent function.
Step-by-step Solution
1. Start with the parent function:
2. Apply the horizontal stretch by a factor of 5:
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