#minimizer

Let $h(\mathbf{x}) = \frac{1}{2}\mathbf{x}^\top \mathbf{Q}\mathbf{x} + \mathbf{x}^\top\mathbf{c} + b$ with $\mathbf{Q} = \begin{bmatrix} 2 & 1 \\ 1 & 2 \end{bmatrix}$, $\mathbf{c} = (-3, 0)^\top$ and $b = 0$. What is the minimum value of $h$?