Question

If the parent function is
`\sqrt[3]{x}` describe the translation of the function y =
`\sqrt[3]{x} +4-3`

Three units to the left and four units up from
`\sqrt[3]{x}`


Three units to the right and four units up from
`\sqrt[3]{x}`


Four units to the right and three units down from
`\sqrt[3]{x}`

Four units to the left and three units down from
`\sqrt[3]{x}`

Answer 1

Answer: LAST OPTION.

Explanation:

The parent function is the simplest form of the function.

If you make
`f(x+4)`, you obtain:

`f(x+4)=\sqrt[3]{(x+4)}`

The function is translated four units to the left from
`f(x)=\sqrt[3]{x}`.

If you make
`f(x+4)-3`, you obtain:

`f(x+4)-3=\sqrt[3]{(x+4)}-3`

The function is translated three units down from
`f(x)=\sqrt[3]{x}`