Answer
(a) See graph.
(b) See graph.
Work Step by Step
(a) To obtain the graph of $h(x)=-2(x+1)^3+3$ from $y=x^3$, shift 1 unit to the left, stretch vertically by a factor of 2, reflect across the x-axis, then shift 3 units up. See graph.
(b) To obtain the graph of $g(x)=|x+4|+2$ from $y=|x|$, shift 4 units to the left, then shift 2 units up. See graph.
