Given the parent function , write the equation of the transformed function after a horizontal compression by a factor of and a shift left by 5 units. The transformed function is .
Answer & Analysis
Analysis
Question Analysis
This question tests the student's understanding of horizontal transformations of functions, specifically horizontal compression and horizontal shift.
Key Concept Explanation
The general form of a transformed function is given by . For this problem, we focus on the horizontal compression and the horizontal shift.
Step-by-step Solution
1. Identify the parent function: .
2. Apply the horizontal compression by a factor of : Replace with
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