Question

if you apply the changes below to the cube root parent function, F(x)=3√x, what is the equation of the new function ?

Answer 1

The given function is:

`f(x)=\sqrt[3]{x}`

Translating the function 1 unit to the left the function becomes:

`\sqrt[3]{x+1}`

By further translating the function 1 units upward gives:

`\sqrt[3]{x+1}+1`

Therefore the required answer is:

`g(x)=\sqrt[3]{x+1}+1`