Question

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Answer 1

f(x)=x²-3x+2

$f(x) = x {}^{2} - 3x + \frac{9}{4} + 2$

$f(x) + \frac{9}{4} = x {}^{2} - 3x + \frac{9}{4} + 2$

$f(x) + \frac{9}{4} = (x - \frac{3}{2} ) {}^{2} + 2$

$f(x) = (x - \frac{3}{2} ) {}^{2} + 2 - \frac{9}{4}$

$f(x) = (x - \frac{3}{2} ) {}^{2} - \frac{1}{4}$

$f(x) = (x - \frac{3}{2} ) {}^{2} - \frac{1}{4}$