The graph of y = -1/2 |x + 4| - 3 can be obtained from the graph of y = |x| by which transformation?

Start with y = |x|.

Stretch by 1/2 vertically: y → y/(1/2)

y/(1/2) = |x| or y = (1/2) |x|

Translate by <-4,-3>: x → x - (-4) = x + 4; y → y - (-3) = y + 3

y + 3 = (1/2) |x + 4| or y = (1/2) |x + 4| - 3