Where is the vertex ?

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\[ x(t) = 3 + 2t + 3 t^2 \]

\[ y(t) = 4 - t + 2 t^2 \]

A parabola is defined by the above parametric equations. It is plotted in the attached graph. If \( (a, b) \) is the vertex of the parabola, find \( a + b \).

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