The parent function is . The graph of the transformed function has the following characteristics: it is vertically compressed by a factor of , horizontally stretched by a factor of , reflected across the -axis, translated units to the right and unit up. What is the equation of the transformed function?
Options
A
B
C
D
Answer & Analysis
Answer
A
Analysis
From the graph, the vertical compression by a factor of of gives .
Then, the horizontal stretch by a factor of means replacing with , so we have .
The reflection across the -axis changes the sign, resulting in
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