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

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

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

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

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

Respuesta :

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

Step-by-step explanation:

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

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

3. The function [tex]\sqrt[3]{(x-4)}+3[/tex] 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 [tex]\sqrt[3]{x}[/tex]