Question

Which could be the function graphed below?

A. f(x)=√x-2
B. f(x)=√x-3+1
C. f(x)=√2x+4
D. f(x)=√x+1+8

Answer 1

Say f(x) = y.

Consider option A.

`y=√(x) -2`

`y+2=√(x)`

Squaring, we get,

`(y+2)^(2) =x`

Clearly, the above equation represents a parabola (open right) with vertex at (0, -2).

We can easily notice that this function is graphed.

Answer 2

using a graph tool
see the figure attached

the answer is the option A
y=√{x}-2