Complete the square. Then, graph the parabola on graph paper. Mark in the vertex and “2” sets of points. Here is your equation, y = 2x^2 + 12x + 14

y = 2 (x^2 + 6x + 7) = 2 (x^2 + 6x + 9 - 2) = 2 [(x + 3)^2 - 2] = 2 (x + 3)^2 - 4