Which could be the function graphed below?

a. f(x)=(√x-5)+1
b. f(x)=√x-2
c. f(x)=√x
d. f(x) =√x+4

The correct option is D.

Explanation:

From the given graph it is noticed that it can be transformed from the graph of

the parent function of the graph is,

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 shifts right and if a is positive then the shifts left side.

In the given graph the graph of 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., .