The parent function is . The graph of the transformed function shows that it 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
A
B
C
D
Answer & Analysis
Answer
B
Analysis
For the vertical stretch by a factor of , we multiply the function by , starting with .
For the horizontal compression by a factor of , we replace with , giving .
The reflection across the -axis means replacing with , so we have
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