#### 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.
$\mathrm{g}(x)=2f(x+4),$
so the graph of $g$ (solid red line) is obtained from the graph of f by
1. shifting it left by $4$ units, (black, dashed)
then ,
2. vertically stretching (factor 2)
then ,
3. reflecting across the x-axis (black, dashed line,
and, finally,
4. raising up by 1 unit (solid red line)
Using the above points, $(x,f(x))$
plot $(x-4$, $2f(x))$ and join.