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What is the effect on the graph of ๐‘“(๐‘ฅ)=1๐‘ฅf(x)= x1โ€‹ when it is transformed to ๐‘”(๐‘ฅ)=1๐‘ฅโˆ’10g(x)= x1โ€‹ โˆ’10?A.The graph of f(x) is shifted 10 units to the left.B.The graph of f(x) is shifted 10 units down.C.The graph of f(x) is shifted 10 units up.D.The graph of f(x) is shifted 10 units to the right.SUBMITarrow_backPREVIOUS

Question

What is the effect on the graph of ๐‘“(๐‘ฅ)=1๐‘ฅf(x)= x1โ€‹ when it is transformed to ๐‘”(๐‘ฅ)=1๐‘ฅโˆ’10g(x)= x1โ€‹ โˆ’10?A.The graph of f(x) is shifted 10 units to the left.B.The graph of f(x) is shifted 10 units down.C.The graph of f(x) is shifted 10 units up.D.The graph of f(x) is shifted 10 units to the right.SUBMITarrow_backPREVIOUS

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Solution

The transformation of the function ๐‘“(๐‘ฅ)=1/๐‘ฅ to ๐‘”(๐‘ฅ)=1/(๐‘ฅโˆ’10) results in a horizontal shift of the graph. Specifically, the graph of f(x) is shifted 10 units to the right. So, the correct answer is D. The graph of f(x) is shifted 10 units to the right.

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