the vertex tells you the graph is translated left 2 and vertically by k.
so it will be y = a|x+2| + k
absolute value graphs are v-shaped
opens downward means "a" will be negative.
then it is given that "a" is +/-4. which we know from the previous info that it's -4.
the last info, that it goes through (-3,-1) gives k.
the only options are the last two. The equation: y = -4|x+2| +3 is the only one that works for the point given.