Let's see that the graph of "y=-2(x-6)^2+10" is a translation of the graph of "y=-2x^2" by +6 in the x-axis direction and +10 in the y-axis direction.
Observe how the graph of "y=-2x^2" moves in parallel by +6 in the x-axis direction and +10 in the y-axis direction and overlaps with the graph of "y=-2(x-6)^2+10".
At this time , note that these two graphs have the same shape and spread , but differ only in position.