Question

Which of the following functions shows the cube root parent function, F(x)=^3√x, horizontally compressed?

Answer 1

Recall that the graph of a function f(x) horizontally compressed by a k factor is represented by the following function:

`\begin{gathered} g(x)=f(bx), \\ |b|>1. \end{gathered}`

Therefore, the function

`K(x)=\sqrt[3]{2x}`

is a horizontal compression of its parent function.

Answer:

`K(x).`