each statement describes a transformation of the graph of y=x^2 which statement correctly describes the graph of the equation shown below y=2(x-7)^2-10

The statement that correctly describes the graph of the equation y=2(x-7)^2-10 is that it shifts the graph 7 units to the right, vertically stretches the graph by a factor of 2, and shifts the graph 10 units downwards.