Answer: The correct option is D.
Explanation:
From the given graph it is noticed that it can be transformed from the graph of
[tex]y=\sqrt{x}[/tex]
the parent function of the graph is,
[tex]y=\sqrt{x+a} +b[/tex]
Where, a represents the horizontal shift along the y-axis and b represents the vertical shift along y-axis.
If the value of a is negative then graph of [tex]y=\sqrt{x}[/tex] shifts right and if a is positive then the [tex]y=\sqrt{x}[/tex] shifts left side.
In the given graph the graph of [tex]y=\sqrt{x}[/tex] shifts left side, therefore the value of a must be positive.
In option A, Band C the value of a is negative or equal to 0, therefore A, B and C are incorrect.
Therefore, the correct option is D, i.e., [tex]\sqrt{x+4}[/tex].
