Question

Consider the following function.

Answer 1

The letter z is the correct answer

Answer 2

Answer:

Graph Z

Step-by-step explanation:

The radical parent function is

$g(x)=\sqrt{x}$

The given function is

$f(x)=\sqrt{x-2}$

$f(x)=g(x-2)$           .... (1)

The translation is defined as

$f(x)=g(x+a)$                .... (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

$a=-2$

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

Therefore, the graph Z represents the given function.