Answer
$\bf \color {blue}{(-4,0),(0,-4),(-8,-4)}$
Work Step by Step
$$\bf{y=-|x+4|}$$
$\bf \text{Lets plug in numbers to find three points}$
if $x=0$:
$y=-|0+4|$
$y=-|4|$
$y=-4$
$\bf \color {blue}{(0,-4)}$
if $y=0$:
$0=-|x+4|$
$0=-(x+4)$ or $0=-(-(x+4))$
$0=-x-4$ or $0=x+4$
$4=-x$ or $-4=x$
$x=-4$
$\bf \color {blue}{(-4,0)}$
if $y=-4$:
$-4=-|x+4|$
$-4=-(x+4)$ or $-4=-(-(x+4))$
$-4=-x-4$ or $-4=x+4$
$0=x$ or $-8=x$
$\bf \color {blue}{(0,-4),(-8,-4)}$
So three of the points are:
$\bf \color {blue}{(-4,0),(0,-4),(-8,-4)}$
Which we can graph as: