Question

cube root functions and equations
the solid graph is a translation of $f(x)=\sqrt3{x}$.
how was the graph of $f(x)=\sqrt3{x}$ shifted to form the translation?
2 units right
2 units left
2 units down
2 units up

Explanation:

First, identify the key point of $f(x)=\sqrt[3]{x}$, which is $(0,0)$. The solid graph (translated function) has its corresponding key point at $(2,0)$. For horizontal translations, if a function $f(x)$ becomes $f(x-h)$, the graph shifts $h$ units right when $h>0$. Here, moving from $x=0$ to $x=2$ means $h=2$, so the shift is 2 units right.

Answer:

2 units right