1) The transformations we have in this function y=-4(x+1)²-5 In comparison to its parent function y=x²
1.1) A horizontal shift to the left the +1 y=-4(x+1)²-5 inside the parentheses
1.2) A reflection marked by the minus y=-4(x+1)²-5
1.3) A Vertical Stretch: y=-4(x+1)²-5
1.4) A vertical shift down: y=-4(x+1)²-5
2) We can see that in a plotted graph.