The graph of y=x² can be transformed into the graph of y = 2(x+3)²-5 by applying the following transformations:
1. The graph is stretched vertically by a factor of 2.
2. The graph is shifted 3 units to the left (i.e., in the negative x-direction).
3. The graph is shifted 5 units downward (i.e., in the negative y-direction).
These transformations change the shape and position of the original parabola, resulting in a new graph with a different vertex and a different curvature.