The quadratics of the 2nd choice are the only ones that go through both points (-4, 0) and (-3, -1).
x² +6x +8 = -x² -8x -16
_____ The quadratic with those two points as solution will be of the form .. a(x +4)(x +3) = 0 .. a(x^2 +7x +12) = 0 When you subtract one side or the other to put the equation in this form, only the 2nd selection matches: .. 2(x^2 +7x +12) = 0