Answer
See graph and explanations.
Work Step by Step
Step 1. Graph the function $f(x)=|x|$ shown as the blue curve in the figure.
Step 2. To obtain the curve of function $g(x)=-|x+4|+2$, shift the original curve horizontally 4 units to the left, then reflect the result around the x-axis, and shift the result vertically 2 units up, shown as the red curve.