The graph of the reciprocal parent function, ๐(๐ฅ)=1๐ฅf(x)= x1โ , is shifted 8 units down and 6 units to the left to create the graph of g(x). What function is g(x)?A.๐(๐ฅ)=1๐ฅ+8โ6g(x)= x+81โ โ6B.๐(๐ฅ)=1๐ฅโ6โ8g(x)= xโ61โ โ8C.๐(๐ฅ)=1๐ฅโ8โ6g(x)= xโ81โ โ6D.๐(๐ฅ)=1๐ฅ+6โ8g(x)= x+61โ โ8SUBMITarrow_backPREVIOUS
Question
The graph of the reciprocal parent function, ๐(๐ฅ)=1๐ฅf(x)= x1โ , is shifted 8 units down and 6 units to the left to create the graph of g(x). What function is g(x)?A.๐(๐ฅ)=1๐ฅ+8โ6g(x)= x+81โ โ6B.๐(๐ฅ)=1๐ฅโ6โ8g(x)= xโ61โ โ8C.๐(๐ฅ)=1๐ฅโ8โ6g(x)= xโ81โ โ6D.๐(๐ฅ)=1๐ฅ+6โ8g(x)= x+61โ โ8SUBMITarrow_backPREVIOUS
Solution
The function g(x) is represented by B. g(x) = 1/(x+6) - 8. This is because when a function is shifted to the left, we add to the x value in the function, and when a function is shifted down, we subtract from the whole function. So, the function is shifted 6 units to the left (x becomes x+6) and 8 units down (the function becomes the function - 8).
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