Knowee
Questions
Features
Study Tools

The graph of the reciprocal parent function, ๐‘“(๐‘ฅ)=1๐‘ฅf(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‘”(๐‘ฅ)=1๐‘ฅ+8โˆ’6g(x)= x+81โ€‹ โˆ’6B.๐‘”(๐‘ฅ)=1๐‘ฅโˆ’6โˆ’8g(x)= xโˆ’61โ€‹ โˆ’8C.๐‘”(๐‘ฅ)=1๐‘ฅโˆ’8โˆ’6g(x)= xโˆ’81โ€‹ โˆ’6D.๐‘”(๐‘ฅ)=1๐‘ฅ+6โˆ’8g(x)= x+61โ€‹ โˆ’8SUBMITarrow_backPREVIOUS

Question

The graph of the reciprocal parent function, ๐‘“(๐‘ฅ)=1๐‘ฅf(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‘”(๐‘ฅ)=1๐‘ฅ+8โˆ’6g(x)= x+81โ€‹ โˆ’6B.๐‘”(๐‘ฅ)=1๐‘ฅโˆ’6โˆ’8g(x)= xโˆ’61โ€‹ โˆ’8C.๐‘”(๐‘ฅ)=1๐‘ฅโˆ’8โˆ’6g(x)= xโˆ’81โ€‹ โˆ’6D.๐‘”(๐‘ฅ)=1๐‘ฅ+6โˆ’8g(x)= x+61โ€‹ โˆ’8SUBMITarrow_backPREVIOUS

๐Ÿง Not the exact question you are looking for?Go ask a question

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).

Similar Questions

Question 6 of 10Which of the following are characteristics of the graph of the reciprocal parent function?Check all that apply.A.It is a hyperbola.B.It is in quadrants I and II.C.It is a parabola.D.It does not go through the origin.

Find g(x), where g(x) is the translation 1 unit right and 6 units down of f(x)=โ€“10(x+7)2+7.g(x)=โ€“10(x+8)2+1g(x)=โ€“10(x+6)2+1g(x)=โ€“10(x+6)2+13g(x)=โ€“10(x+8)2+13Submit

What kind of transformation converts the graph of f(x)=3|x|+9 into the graph of g(x)=3|x+6|+1?translation 6 units left and 8 units uptranslation 6 units right and 8 units downtranslation 6 units left and 8 units downtranslation 6 units right and 8 units upSubmit

How does the graph of ๐‘“(๐‘ฅ)=โˆ’32๐‘ฅโˆ’4f(x)=โˆ’3 2x โˆ’4 differ from the graph of ๐‘”(๐‘ฅ)=โˆ’32๐‘ฅg(x)=โˆ’3 2x ?A.The graph of ๐‘“(๐‘ฅ)f(x) is shifted four units to the right of the graph of ๐‘”(๐‘ฅ)g(x).B.The graph of ๐‘“(๐‘ฅ)f(x) is shifted four units down from the graph of ๐‘”(๐‘ฅ)g(x).C.The graph of ๐‘“(๐‘ฅ)f(x) is shifted four units up from the graph of ๐‘”(๐‘ฅ)g(x).D.The graph of ๐‘“(๐‘ฅ)f(x) is shifted four units to the left of the graph of ๐‘”(๐‘ฅ)g(x).SUBMITarrow_backPREVIOUS

The graph of ย is shifted 5 units _________ of g(x) - axisย and 3 units __________ of x - axis.A Right, Up B Right, Down C Left, Down D Right, Right

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.