The parent function is . The graph of the transformed function shows that it is vertically stretched by a factor of , horizontally stretched by a factor of , translated units to the left, reflected across the -axis, and translated unit down. What is the equation of the transformed function?
Options
A
B
C
D
Answer & Analysis
Answer
A
Analysis
Vertical Stretch: Vertically stretching (which is ) by a factor of gives or .
Horizontal Stretch: Horizontally stretching by a factor of means replacing with , so the function is now .
Translation to the Left: Translating units to the left means replacing with
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