Answer: We have to plot the function:
[tex]y(x)=\sqrt[3]{x+2}+3\rightarrow(1)[/tex]
(1) is the cube root function translated along the x and y-axis, and can be plotted by translating the base cube root function along the x and y-axis:
[tex]\begin{gathered} y(x)=\sqrt[3]{x} \\ \\ \\ \text{ Translation along x by 2 units left:} \\ \\ \\ y(x)=\sqrt[3]{x+2} \\ \\ \\ \text{ Translation along y by 3 units up:} \\ \\ \\ y(x)=\sqrt[3]{x+2}+3\rightarrow(2) \end{gathered}[/tex]
The final plot along the translation steps is as follows:
The answer is the Second Option.
