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
