Given the parent function , write the equation of the transformed function after a horizontal compression by a factor of and a shift right by 2 units. The transformed function is .
Answer & Analysis
Analysis
Question Analysis
This question tests the understanding of function transformations, specifically horizontal compression and horizontal shift.
Key Concept Explanation
A horizontal compression by a factor of means that the function is scaled in by a factor of in the x-direction. A shift right by 2 units means that the entire graph is moved 2 units to the right.
Step-by-step Solution
1. Start with the parent function:
2. Apply the horizontal compression by a factor of :
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