(2) find the vertex of the parabola \( f(x)=2 x^{2}+7 x+6 \)

Step 1 ：\(f(x) = 2x^{2} + 7x + 6\)

Step 2 ：\(x_{vertex} = -\frac{b}{2a} = -\frac{7}{2\times2} = -\frac{7}{4}\)

Step 3 ：\(y_{vertex} = f(-\frac{7}{4}) = 2(-\frac{7}{4})^{2} + 7(-\frac{7}{4}) + 6\)

Step 4 ：Vertex = \(-\frac{7}{4}, y_{vertex}\)