Answer:
Shifted to right by 4 units.
Step-by-step explanation:
We have been given a function \(y=\sqrt{x}\). We are asked to find the translation rule to obtain the function \(y=\sqrt{x-4}\) from \(y=\sqrt{x}\).
Let us recall translation rules.
\(f(x)\rightarrow f(x-a)=\text{Graph shifted to right by a units}\)
\(f(x)\rightarrow f(x+a)=\text{Graph shifted to left by a units}\)
\(f(x)\rightarrow f(x)+a=\text{Graph shifted upwards by a units}\)
\(f(x)\rightarrow f(x)-a=\text{Graph shifted downwards by a units}\)
We can see that \(-4\) is under radical, therefore, the function \(y=\sqrt{x}\) is shifted to right by 4 units to obtain the graph of \(y=\sqrt{x-4}\).
