Answer:
C. [tex]y=\sqrt[3]{-x} -1[/tex]
Step-by-step explanation:
Consider the eparent function [tex]y=\sqrt[3]{x}[/tex] The graph of this function is shown in the attached diagram - red curve.
Reflect this graph across the y-axis, you'll get the blue line which equation is
[tex]y=\sqrt[3]{-x}[/tex]
Translate this graph 1 unit down, then you'll get green line (that is exactly the graph from your image) and the function for this line is
[tex]y=\sqrt[3]{-x} -1[/tex]
