Question

If you apply the changes below to the cube root parent function, F(x) = x,what is the equation of the new function?• Translate 1 unit right.• Translate 1 unit up.A. G(x) = *fx-1-1B. G(x) = {x-1+1aC. G(x) = x+1+1D. G(x) = {x+1-1O

Answer 1

Recall that a function h(x) translated n units to the right, is represented by

`l(x)=h(x-n),`

and h(x) translated n units up is represented by

`l(x)=h(x)+n\text{.}`

Therefore, the given function translated 1 unit to the right and 1 unit up is:

`G(x)=\sqrt[3]{x-1}+1.`

Answer:

`G(x)=\sqrt[3]{x-1}+1.`