Question

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

a. f(x)= x^3
b. f(x)= [x]
c. f(x)= x
d. f(x)= |x|

Answer 1

`f(x)=x^3`

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.