Vertical Transformations

with(plots):

>    f:=abs(x); g:=abs(2*x); h:=abs(x+4); i:=abs(2*x+4);  j:=abs(-2*x+4);

f := abs(x)

g := 2*abs(x)

h := abs(x+4)

i := abs(2*x+4)

j := abs(2*x-4)

>    pf:=plot(f,x=-5..5,color=black): pg:=plot(g,x=-5..5,color=red): ph:=plot(h,x=-5..5,color=blue): pi:=plot(i,x=-5..5,color=green):
pj:=plot(j,x=-5..5,color=brown): display({pf,pg,ph,pi,pj});

[Maple Plot]