ANSWER
[tex]y = \sqrt[3]{x + 4} - 1[/tex]
EXPLANATION
The given function is
[tex]y = \sqrt[3]{x} [/tex]
The transformation
[tex]y = \sqrt[3]{x + k} - c[/tex]
shifts the graph of the base function k units left and c units down.
Since the graph is shifted 4 units left, k= 4
Also, the graph is shifted 1 unit down.
This implies that c=1
The new equation is
[tex]y = \sqrt[3]{x + 4} - 1[/tex]
The last option is correct.
