Given the function , find the equation of the function after compressing it vertically by a factor of 0.5 and then shifting it 2 units to the left. The transformed function is .
Answer & Analysis
Analysis
Question Analysis
This problem assesses the student's ability to apply vertical compressions and horizontal shifts to a cubic function.
Key Concept Explanation
Compressing a function vertically by a factor of (where ) changes to . Shifting a function horizontally by units changes to . If is negative, the shift is to the left.
Step-by-step Solution
1. Compress the function vertically by a factor of 0.5:
Click "Show Answer" to reveal the answer and analysis
Want More Practice Questions?
Access thousands of practice questions with detailed explanations on Scholardog.