Answer:
C. [tex]f(x)=\sqrt[3]{-x} -1[/tex]
Step-by-step explanation:
Consider graph of the parent function (red curve in attached diagram)
[tex]g(x)=\sqrt[3]{x}[/tex]
First, multiply it by -1 to get function
[tex]h(x)=-\sqrt[3]{x}[/tex]
Then translate the graph of the function h(x) 1 unit down, then you'll get the function
[tex]f(x)=-\sqrt[3]{x} -1\\ \\ \text{or}\\ \\f(x)=\sqrt[3]{-x} -1[/tex]
The graph of the function f(x) is represented by the blue curve in attached diagram
