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The equation for a parabola can also be written in the "vertex form":
 x = a (y - h) ^ 2 + k
 In this equation, the vertex of the parabola is the point (h, k).
 We have then:
 x = y2 + 6y + 1
 We look for the vertice:
 0 = 2y + 6
 y = -6 / 2
 y = -3
 Substituting:
 x = (-3) ^ 2 + 6 (-3) +1
 x = -8
 Substituting the vertice point:
 x = (y + 3) ^ 2 - 8
 
 x = (y + 3) ^ 2 - 8
 option C