Question

Write y= 3x^2 -18x +30 in vertex form

Answer 1

`y=3x^2-18x+30\\ y=3(x^2-6x+10)\\ y=3(x^2-6x+9+1)\\ y=3(x^2-6x+9)+3\\ y=3(x-3)^2+3`

Answer 2

`y=ax^2+bx+c\\\\The\ vertex\ form:y=a(x-h)^2+k\ where\ h=(-b)/(2a)\ and\ k=f(h)\\========================================\\\\y=3x^2-18x+30\\\\a=3;\ b=-18;\ c=30\\\\h=(-(-18))/(2\cdot3)=(18)/(6)=3\\\\k=f(3)=3(3^2)-18(3)+30=3(9)-54+30=27-24=3\\\\therefore:\boxed{y=3(x-3)^2+3}`