Question 1004485
They are the same, but your equation is in GENERAL FORM, and you want to convert it into standard form, which is the same as "vertex" form.


{{{y=3(x^2-2x)+1}}}


Do you know why 1 will complete the square?
{{{y=3(x^2-2x+1)+1-1*3}}}
Do you understand why {{{1*3}}} term is subtracted?


{{{highlight(y=3(x-1)^2-2)}}}