Answer:
Option C is correct
the graph is vertical shift of the parent function 2 units up.
Step-by-step explanation:
Vertical shift:
To translate the parent function [tex]f(x)= \sqrt{x}[/tex] vertically, you can use the function:
[tex]g(x)= \sqrt{x}+k[/tex].
When k > 0, the graph translated to k units up
When k < 0, the graph translated to k units down.
As per the statement:
Let the parent function be:
[tex]y = \sqrt{x}[/tex]
then;
the graph [tex]y = \sqrt{x}+2[/tex]
By definition of vertical shift:
k = 2 > 0
Therefore, the graph [tex]y = \sqrt{x}+2[/tex] is vertical shift of the parent function 2 units up.
