Answer:
Graph Z
Step-by-step explanation:
The radical parent function is
[tex]g(x)=\sqrt{x}[/tex]
The given function is
[tex]f(x)=\sqrt{x-2}[/tex]
[tex]f(x)=g(x-2)[/tex] .... (1)
The translation is defined as
[tex]f(x)=g(x+a)[/tex] .... (2)
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
From (1) and (2) we get
[tex]a=-2[/tex]
The value of a is negative so the graph of parent function shifts 2 units right.
Therefore, the graph Z represents the given function.
