Question

Which equation is y = 3(x – 2)2 – (x – 5)2 rewritten in vertex form?

Answer 1

Answer: D

y=2(x-1/2)^2 - 27/2

Answer 2

expand
y=3(x^2-4x+4)-(x^2-10x+25)
y=3x^2-12x+12-x^2+10x-25
y=3x^2-x^2-12x+10x+12-25
y=2x^2-2x-13
complete the square

y=2(x^2-x)-13
y=2(x^2-x+1/4-1/4)-13
y=2((x-1/2)^2-1/4)-13
y=2(x-1/2)^2-1/2-13
y=2(y-0.5)^2-13.5