If the function is horizontally stretched by a factor of 4, what is the new function?
Answer & Analysis
Analysis
Question Analysis
This question assesses the student's ability to apply a horizontal stretch to a square root function. The key is to understand that a horizontal stretch by a factor of 4 means the input is divided by 4.
Key Concept Explanation
A horizontal stretch by a factor of for a function results in the new function . In this case, .
Step-by-step Solution
1. Identify the given function:
2. Determine the stretch factor: 4 implies
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