Consider the parent function . If the function is horizontally stretched by a factor of 3, the transformed function can be written as .
Answer & Analysis
Analysis
Question Analysis
This question tests the student's understanding of horizontal stretches. The key is to recognize that a horizontal stretch by a factor of 3 means that each x-coordinate of the original function is multiplied by .
Key Concept Explanation
Horizontal stretch/compression is determined by the coefficient of the input variable within the function. For a horizontal stretch by a factor of , the transformed function is .
Step-by-step Solution
1. Identify the given information: The parent function is and it is horizontally stretched by a factor of 3.
2. Determine the coefficient
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