Find the vertex of the parabola given by the equation \(y = 2x^2 + 8x + 7\)

Step 1 ：The general form of a parabola is \(y = ax^2 + bx + c \). To find the vertex \((h, k)\), we can use the formula \(h = -\frac{b}{2a}\) and \(k = c - \frac{b^2}{4a}\).

Step 2 ：Substitute \(a = 2\), \(b = 8\), and \(c = 7\) into the formulas. The x-coordinate of the vertex is \(h = -\frac{8}{2 \times 2} = -1\).

Step 3 ：Substitute \(h = -1\) into the equation to get the y-coordinate of the vertex. The y-coordinate is \(k = 2(-1)^2 + 8(-1) + 7 = -3\).