Given the function , find the equation of the function after a vertical stretch by a factor of 5. The new function is g(x) = ________.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's understanding of vertical stretches of functions. The problem provides a function and asks for the new function after a vertical stretch by a given factor.
Key Concept Explanation
A vertical stretch of a function by a factor of (where ) results in the new function . In this case, the original function is and the stretch factor is 5.
Step-by-step Solution
1. Identify the original function:
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