Question

Describe the transformation that takes f(x) =|x| to g(x)= -|x+4| -1

Answer 1

The sign on the 'x' changes, this implies a reflection.

g(x) = -f(x) = -(x+1) = -x -1

Now apply a vertical translation 'up 5' to f(x)

g(x) = -f(x) + 5 = (-x-1) +5 = -x +4

Hope this helps! <3

Answer 2

1 unit down, 4 to the left and it us reflected over the x axis