Let \( f(x)=\left\{\begin{array}{ll}\left|x^{2}-3 x\right|+a, & 0 \...

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Let \( f(x)=\left\{\begin{array}{ll}\left|x^{2}-3 x\right|+a, & 0 \leq x\frac{3}{2} \\ -2 x+3, & x \geq \frac{3}{2}\end{array}\right. \). If \( f(x) \) has a local
\( \mathrm{D} \) maxima at \( x=\frac{3}{2} \), then greatest value of \( a \) is
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