f x x Horizontal shift to the left 1 unit Vertical shrink

f (x) = | x | Horizontal shift to the left 1 unit Vertical shrink (compression) by ¼ Vertical shift down 4 units

f(x) = |x|

i) Horizontal shift to the left 1 unit

f(x) = |x+1|

ii) Vertical shrink (compression) by ¼

f(x) = |x+1|/4

iii) Vertical shift down 4 units

f(x) = |x+1|/4 -4

So, final function : f(x) = |x+1|/4 -4