Question

Identify the parent function that can be used to graph the function f(x)= (1/4 x)^3

Answer 1

Answer:

$f(x)=x^3$

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 $f(x)=x^3$. From here we're in simplest form, since $y=x$ or others represent a completely different family of functions and cannot be obtained from horizontal/vertical stretches/compressions.