Option C will represent the correct expression for the given function.
The graph is a vertical shift of the parent function 2 units up.
A function that fulfills the values for the function is called the parent function.
Given function is [tex]y = \sqrt{x} +2[/tex].
The parent square root function on the given function is [tex]f(x) =\sqrt{x}[/tex].
To obtain the given function, we will use the parent function and add 2 on both sides. We get the expression,
[tex]f(x) + 2 = \sqrt{x} +2[/tex]
We get an expression of the parent function with an integer of +2. It means that the graph of the given function will shift vertically to 2 units up.
Hence we can conclude that option C will represent the correct expression for the given function. The graph is a vertical shift of the parent function 2 units up.
To know more about the parent function, follow the link given below.
https://brainly.com/question/18599661.
