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

Identify the parent function that can be used to graph the function f(x) =(1/4 x)^3-example-1
User Yellowcap
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Answer:

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

User Robbmj
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