Using shifting concepts, it is found that the correct option is:
B. The graph of f(x) is vertically compressed by a factor of 6 and shifted 9 units down.
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The parent function is .
The first transformation is a multiplication by 1/6. Multiplying by 1/a is the same as vertically compressing by a factor of a, thus, it was vertically compressed by a factor of 6.
Then, 9 was subtracted. When a is subtracted from the function, it means that it was shifted down a units, thus, it was shifted down 9 units, and the correct option is B.