The parent function is . The graph of the transformed function is vertically stretched by a factor of , horizontally compressed by a factor of , translated units to the left, reflected across the -axis, and translated units down. What is the equation of the transformed function?
Options
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Answer & Analysis
Answer
A
Analysis
Vertical Stretch: When the function is vertically stretched by a factor of , it becomes .
Horizontal Compression: When horizontally compressed by a factor of , we replace with , so the function is now .
Translation to the Left: Translating units to the left means replacing with , resulting in
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