Solve the Problem $x ^ { 2 } = - \frac { 9 } { 7 } y$

Multiple Choice

Solve the problem.
-A parabolic arch forms a structure that allows equal vertical loading along its length. Take the origin at the vertex of the parabolic arch, and write an equation of the parabola.

A) $x ^ { 2 } = - \frac { 9 } { 7 } y$
B) $x ^ { 2 } = - \frac { 7 } { 405 } y$
C) $x ^ { 2 } = \frac { 405 } { 7 } y$
D) $x ^ { 2 } = - \frac { 405 } { 7 } y$