Consider the following function.
f(x) = √x - 2
which of the following graphs corresponds to the given function?

Graph Z

Step-by-step explanation:

The radical parent function is

The given function is

          .... (1)

The translation is defined as

               .... (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

The value of a is negative so the graph of parent function shifts 2 units right.

Therefore, the graph Z represents the given function.