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

**Answer Choices**

A. 2 \sqrt{5}

B. 5+\dfrac{\sqrt{2}}{2}

C. 5+\sqrt{2}

D. 7

E. 5 \sqrt{2}

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

**Answer Choices**

A. 2 \sqrt{5}

B. 5+\dfrac{\sqrt{2}}{2}

C. 5+\sqrt{2}

D. 7

E. 5 \sqrt{2}