Answer
(a) 1st step (black graph): The parent function: $y=x^3$
2nd step (green graph): Flipped over the x-axis. $y=-x^3$
3rd step (red graph): Stretched by a factor of 2. $y=-2x^3$
4th step (orange graph): Shifted 3 units up. $y=-2x^3+3$
Final step (blue graph): Shifted 1 unit to the left. $y=-2(x+1)^3+3$
Work Step by Step
(b) 1st step (black graph): The parent function: $y=|x|$
2nd step (green graph): Shifted 2 units up. $y=|x|+2$
Final step (blue graph): Shifted 4 units to the left. $y=|x+4|+2$
