Question 18Points $A$ and $B$ are on the parabola $y = 4x^2 + 7x - 1,$ and the origin is the midpoint of $\overline{AB}.$ What is the length of $AB?$$2\sqrt{5}$$5 + \dfrac{\sqrt{2}}{2}$$5 + \sqrt{2}$$7$$5\sqrt{2}$