TeX Quellcode:

\begin{array}{rcl} f(x) &=& \dfrac{1}{2}\left(x-\dfrac{3}{2}\right)^2-\dfrac{25}{8} \\ \\ &=& \dfrac{1}{2}\left(x^2-3x+\dfrac{9}{4}\right)-\dfrac{25}{8} \\ \\ &=& \dfrac{1}{2}x^2-\dfrac{3}{2}x+\dfrac{9}{8}-\dfrac{25}{8} \\ \\ &=& \dfrac{1}{2}x^2-\dfrac{3}{2}x+2\end{array}