Answer
please see image
Work Step by Step
$f(x)=|x|$
(Using desmos.com) we graph f(x) (blue dashed graph).
By hand, plot the points
(-2,2), (-1,1), (0,0), (1,1), (2,2)
and the two rays which make the graph of f.
$h(x)=2f(x+3),$
so the graph of $h$ (solid red line)
is obtained from the graph of f by
1. shifting it left by $3$ units, (black, dashed)
and then ,
2. vertically stretching by factor 2 (solid red line)
Using the above points, $(x,f(x))$
plot $(x-3$, $2f(x))$ and join.