The function represents a horizontal _________ of the parent function .
Answer & Analysis
Analysis
Question Analysis
This question assesses the student's ability to identify whether a given transformation is a horizontal stretch or compression. The key is to recognize that a coefficient greater than 1 indicates a horizontal compression.
Key Concept Explanation
A horizontal compression occurs when the coefficient in the transformed function is such that . In this case, the graph of the function becomes narrower.
Step-by-step Solution
1. Identify the given information: The transformed function is
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