Complee the square to get into for y=a(x-h)^2+k (h,k) is vertex if a is positive, it opens up if a is negative, it opens down
so y=2x²+8x+3 y=(2x²+8x)+3 y=2(x²+4x)+3 take 1/2 of 4 and square it 4/2=2, 2²=4 ad negative and positive of it inside y=2(x²+4x+4-4)+3 factor pefect square y=2((x+2)²-4)+3 distribute y=2(x+2)²-8+3 y=2(x+2)²-5 y=2(x-(-2))²+(-5) vertex isi (-2,-5) 2 is positive so it opens up