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The Graph Of y=1(x4)84y=\frac{1}{(x-4)^{8}}-4 Is a Transformation of the Graph Of y=1xpy=\frac{1}{x^{p}}

Question 47

Multiple Choice

The graph of y=1(x4) 84y=\frac{1}{(x-4) ^{8}}-4 is a transformation of the graph of y=1xpy=\frac{1}{x^{p}} for some pp . Which of the following correctly describes the transformation?


A) The graph of y=1x8y=\frac{1}{x^{8}} shifted to the right 4 units and 4 units down.
B) The graph of y=1x8y=\frac{1}{x^{8}} shifted to the left 4 units and 4 units down.
C) The graph of y=1x8y=\frac{1}{x^{8}} shifted down 4 units and 4 units to the left.
D) The graph of y=1x8y=\frac{1}{x^{8}} shifted 4 units down.

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