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1. The problem statement, all variables and given/known data

solve (f(x)=-3 x^2 + 9 x + 1/4 )

fx=(-3)(x^2-3 x)+1/4

fx=(-3)(x^2-3 x+9/4)+1/4+27/4

fx=(-3)(x^2-3 x+9/4)+28/4

fx=(-3) (x-3/2)^2+7

2. Relevant equations

3. The attempt at a solution

the solution is already given in the book, but I don't understand why 9/4 was inserted in the third line (bolded). I know at the end of the equation, 27/4 is added to balance out the 9/4.......but why put in 9/4 there?

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# Quadratic Function

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