Given the parent function , write the equation of the transformed function after a vertical stretch by a factor of 5 and a shift down by 3 units. The transformed function is .
Answer & Analysis
Analysis
Question Analysis
This question tests the student's understanding of vertical transformations, specifically vertical stretch and vertical shift. The student must correctly apply the transformation rules to the parent function.
Key Concept Explanation
Vertical stretch by a factor of 5 means multiplying the function by 5. A shift down by 3 units means subtracting 3 from the function.
Step-by-step Solution
1. Start with the parent function:
2. Apply the vertical stretch by a factor of 5:
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