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 $g(x)=-2|x+3|+2$, shift the original curve horizontally 3 units to the left, then stretch the result vertically by a factor of 2, reflect the result around the x-axis and finally shift the result vertically 2 units up, shown as the red curve.