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


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


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


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

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

Respuesta :

Answer: LAST OPTION.

Step-by-step explanation:

The parent function is the simplest form of the function.

If you make [tex]f(x+4)[/tex], you obtain:

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

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

If you make [tex]f(x+4)-3[/tex], you obtain:

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

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