Answer
See below.
Work Step by Step
1st step (black graph): The parent function: $y=x^2$
2nd step (green graph): Stretch by a factor of 2: $y=2x^2$
3rd step (red graph): Shift 4 units down: $y=2x^2-4$
Final step (blue graph): Shift left by 1 unit. $y=2(x+1)^2-4$
