The graph of the transformed function can be seen at the end of the answer.
Which is the graph of f(x)?
First, we have the function:
[tex]h(x) = \sqrt[3]{x}[/tex]
Then we reflect that function over the y-axis (or the line x = 0), so this reflection changes the sign of the variable, then we et:
[tex]f(x) = \sqrt[3]{-x}[/tex]
And then we translate the function 2 units down, so we get:
[tex]f(x) = \sqrt[3]{-x} - 2[/tex]
Then the graph of f(x) is the one you can see below.
If you want to learn more about transformations:
https://brainly.com/question/4289712
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