Question

Which could be the function graphed below?

f(x) = √x - 5+1
f(x) = √x-2
f(x) = √x
f(x) = √x+4

Answer 1

D

Explanation:

Answer 2

Option (4)

Explanation:

Parent function of the graph attached,

f(x) =
`√(x)`

If the given function is shifted by 'a' units to the left,

Rule for the transformation is,

g(x) = f(x + a)

So the transformed function will be in the form of g(x) =
`√(x+a)`

Therefore, from the given options, f(x) =
`√(x+4)` will match our requirements.

Option (4) will be the answer.