the question does not present the options, but this does not interfere with the resolution
we have that y=3(x-2)²-(x-5)² y=3(x²-4x+4)-(x²-10x+25) y=3x²-12x+12-x²+10x-25 y=(3x²-x²)+(-12x+10x)+(12-25) y=2x²-2x-13 y+13=2x²-2x y+13=2(x²-x) y+13+0.50=2(x²-x+0.25) y+13.50=2(x-0.5)²------> this is the equation in the vertex form
