Answer: Option 2
[tex]g(x)=\sqrt[3]{x-3}+4[/tex]
Explanation:
From the graph, in order to obtain the function g(x), the parent function f(x) has been:
• Translated by 4 units in the upward direction; and
,
• Translated 3 units to the right.
The parent function, f(x) is:
[tex]f(x)=\sqrt[3]{x}[/tex]
A translation by 4 units up gives::
[tex]\sqrt[3]{x}+4[/tex]
A further translation by 3 units to the right gives:
[tex]g(x)=\sqrt[3]{x-3}+4[/tex]
The second option is correct.
