The parent function of the graph is a cube root function, given as
[tex]f(x)=\sqrt[3]{x}[/tex]
Upon further transformation, we have that
[tex]f(x)=\sqrt[3]{4x}\Rightarrow horizontal\text{ shrink by 4}[/tex]
Also shifted horizontally to the left by 2 units
[tex]f(x)=\sqrt[3]{4x+2}[/tex]
Hence, the equation that represents the function modeled by the graph is
[tex]f(x)=\sqrt[3]{4x+2}[/tex]
The first option is the answer
