Given the parent function , write the equation of the function after a horizontal compression by a factor of and a shift right by 4 units. The transformed function is .
Answer & Analysis
Analysis
Question Analysis
This question tests the student's understanding of horizontal transformations, specifically horizontal compression and horizontal shift.
Key Concept Explanation
Horizontal compression and shift are part of the general form . Here, for horizontal compression and for the rightward shift.
Step-by-step Solution
1. Start with the parent function .
2. Apply the horizontal compression by a factor of
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