Question

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

Answer 1

The parent function is;

`f(x)=x^3`

Step-by-step explanation:

We want to find the parent function of the given function;

`f(x)=((1)/(4)x)^3`

The parent function is the function that belong to the same form/family of function as the given function.

the given function is a cubic function;

`\begin{gathered} f(x)=(1^3)/(4^3)x^3 \\ f(x)=(1)/(64)x^3 \end{gathered}`

It can be compared to the form;

`f(x)=ax^3`

So, the only function that is also a cubic function on the graph is the parent function;

Therefore, the parent function is;

`f(x)=x^3`