What is the vertex form of # f(x) = -3x^2 + 6x -2 #?

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Answer 1 · 2015-12-19T19:13:40

#-3(x-1)^2+1#

Proceed as follows

Factor out #-3# from the terms with #x^2# and #x#

#-3(x^2-2x)-2#

Now complete the square for #x^2-2x#

Remember when we redistribute the negative #3# into whats in the
parentheses it is minus #3# so we must add #3# to maintain the original equation.

#-3(x^2-2x+1)-2+3#

Factor whats in the parentheses and combine like terms

#-3(x-1)^2+1#