Answer
$\bf \color {blue}{(2,0),(4,2),(0,2)}$
Work Step by Step
$$\bf{y=|x-2|}$$
$\bf \text{Lets plug in numbers to find three points}$
if $y=0$:
$0=|x-2|$
$0=x-2$ or $0=-(x-2)$
$2=x$ or $-2=-x$
$x=2$
$\bf \color {blue}{(2,0)}$
if $y=2$:
$2=|x-2|$
$2=x-2$ or $2=-x+2$
$x=4$ or $x=0$
$\bf \color {blue}{(4,2),(0,2)}$
So three of the points are:
$\bf \color {blue}{(2,0),(4,2),(0,2)}$
Which we can graph as: