Question

Hey can you please help me out on my question posted picture

Answer 1

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