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

using a graph tool
see the figure attached

the answer is the option A
y=√{x}-2

Answer 2

Say f(x) = y.

Consider option A.

$y=\sqrt{x} -2$

$y+2=\sqrt{x}$

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.