f(x)=x²-3x+2
[tex]f(x) = x {}^{2} - 3x + \frac{9}{4} + 2[/tex]
[tex]f(x) + \frac{9}{4} = x {}^{2} - 3x + \frac{9}{4} + 2[/tex]
[tex]f(x) + \frac{9}{4} = (x - \frac{3}{2} ) {}^{2} + 2[/tex]
[tex]f(x) = (x - \frac{3}{2} ) {}^{2} + 2 - \frac{9}{4} [/tex]
[tex]f(x) = (x - \frac{3}{2} ) {}^{2} - \frac{1}{4} [/tex]
[tex]f(x) = (x - \frac{3}{2} ) {}^{2} - \frac{1}{4} [/tex]
