Explanation
We must apply some transformations to the function:
[tex]y=g(x)=\sqrt[3]{x}.[/tex]
(1) A reflection across the y-axis is given by the transformation:
[tex]g(x)\rightarrow h(x)=g(-x)=\sqrt[3]{-x}=-\sqrt[3]{x}.[/tex]
(2) A translation down 2 units is given by the transformation:
[tex]h(x)\rightarrow f(x)=h(x)-2=-\sqrt[3]{x}-2.[/tex]
Plotting the function f(x), we get the following graph:
Answer
