Which of the following is the graph of f(x) = -0.5|x+3| -2?

The last graph

Step-by-step explanation:

We transform functions in the following ways:

multiplying the function by a number to stretch or shrink itmultiplying by a negative to flip the orientation of the functionadding/subtracting a value to the input x to shift it horizontallyadding/subtracting a value to the output (or outside the function operation) to shift it vertically or horizontally.

Looking at the equation we can see

Vertically shrunk by 0.5Negative leading coefficient to flip the graph's orientationHorizontal shift of the vertex of 3 units to the left from (0,-2) to (-3,-2)Vertical shift of the vertex of 2 units downward (-3,0) to (-3,-2)

The last graph has vertex (-3,-2) and satisfies the the equation.