Question

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

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

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

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

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

Answer 1

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

Explanation:

1. By definition, a parent function is the simplest form of a function.

2. You have the parent function
`\sqrt[3]{x}`,

3. The function
`\sqrt[3]{(x-4)}+3` is the translation of the parent function shown above.

4. The subtraction -4 inside of the cube root indicates the horizontal shift to the right from the parent function and the addtion +3 outside of the cube root indicates the vertical shift up from the parent function.

5. Therefore, the description of the translation is: Four units to the right and three units up from
`\sqrt[3]{x}`