History homework help

y=-2x^2+4x-4solve by completing square for this f(x), and label the shifts, scaling and reflecting found by completing the squareSolution: y=-2x^2+4x-4Or y = -2(x^2-2x+2)Or y = -2(x^2-2x+2+(1)^1 –(1)^2)Or y= -2(x^2-2x+1+2-1)Or y=-2[(x-1)^2+2-1]Or y=-2[(x-1)^2+1].Hence, y= -2[(x-1)^2+1].Thus, the graph is shifted…