Answer:
[tex]f(x)=x^3[/tex]
Step-by-step explanation:
The parent function denotes the simplest function (free from any horizontal/vertical stretch/compression) that represents a family of functions. In this case the term 1/4 indicates a horizontal stretch and should be removed to find the parent function of [tex]f(x)=x^3[/tex]. From here we're in simplest form, since [tex]y=x[/tex] or others represent a completely different family of functions and cannot be obtained from horizontal/vertical stretches/compressions.