Answer
Please see the graph.
Work Step by Step
Red line: $f(x)=\sqrt x$
Blue line: $g(x)= \sqrt x +2$
We pick three values of $x$ to determine the applicable $y$ values for each function. We pick $x=0$, $x=1$, and $x=4$.
Red line: $f(x)=\sqrt x$
$x=0$
$f(x)=\sqrt x$
$f(0)=\sqrt 0$
$f(0)= 0$
$x=1$
$f(x)=\sqrt x$
$f(1)=\sqrt 1$
$f(1) = 1$
$x=4$
$f(x)=\sqrt x$
$f(4)=\sqrt 4$
$f(4)=2$
The points $(0,0)$, $(1,1)$, and $(4,2)$ are on the graph of the red line.
Blue line: $g(x)= \sqrt x +2$
$x=0$
$g(x)= \sqrt x +2$
$g(0)= \sqrt 0 +2$
$g(0)= 0+2$
$g(0) = 2$
$x=1$
$g(x)= \sqrt x +2$
$g(1)= \sqrt 1 +2$
$g(1) = 1+2$
$g(1) =3$
$x=4$
$g(x)= \sqrt x +2$
$g(4)= \sqrt 4 +2$
$g(4) = 2+2$
$g(4) = 4$
The points $(0,2)$, $(1,3)$, and $(4,4)$ are on the graph of the blue line.
