The function is vertically stretched by a factor of 4. Write the equation of the new function.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's understanding of vertical stretches of functions. The original function is stretched vertically by a factor of 4, which means every output value of the function is multiplied by 4.
Key Concept Explanation
A vertical stretch or compression of a function is a transformation that changes the shape of the graph by multiplying the output values by a constant. If the constant , the graph is stretched vertically.
Step-by-step Solution
1. Identify the original function:
2. Apply the vertical stretch by a factor of 4:
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