Given the function , find the equation of the function after a vertical stretch by a factor of 4. The new function is g(x) = ________.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's understanding of vertical stretches of functions. The student needs to apply the basic rule where is the stretching factor.
Key Concept Explanation
A vertical stretch multiplies the output values of the function by a constant greater than 1, which in this case is 4.
Step-by-step Solution
1. Identify the original function:
2. Apply the vertical stretch by multiplying the function by 4:
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