The equation for a parabola can also be written in the "vertex form": y = a (x - h) ^ 2 + k In this equation, the vertex of the parabola is the point (h, k). We have then: y = 2x2 + 16x + 17 We look for the vertice: 0 = 4x + 16 x = -16 / 4 x = -4 Substituting: y = 2 * (- 4) ^ 2 + 16 * (- 4) +17 y = -15 Substituting the given point: y = 2 (x +4) ^ 2 - 15 Answer: y = 2 (x +4) ^ 2 - 15 option C
