Question

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

Answer 1

The answer to this is D.

Answer 2

Answer: The correct option is D.

Step-by-step explanation:

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

`y=√(x)`

the parent function of the graph is,

`y=√(x+a) +b`

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
`y=√(x)` shifts right and if a is positive then the
`y=√(x)` shifts left side.

In the given graph the graph of
`y=√(x)` 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.,
`√(x+4)`.