The Path of a Projectile Projected Horizontally with a Velocity $$x ^ { 2 } = - \frac { v ^ { 2 } } { 16 } ( y - s )$$

Multiple Choice

The path of a projectile projected horizontally with a velocity of v feet per second at a height of s feet,where the model for the path is $$x ^ { 2 } = - \frac { v ^ { 2 } } { 16 } ( y - s )$$ .In this model (in which air resistance is disregarded) ,y is the height (in feet) of the projectile and x is the horizontal distance (in feet) the projectile travels.A ball is thrown from the top of a 150-foot tower with a velocity of 32 feet per second.Find the equation of the parabolic path. ​

A) $x ^ { 2 } = - 32 ( y - 150 )$
B) $x ^ { 2 } = 64 ( y - 150 )$
C) $x ^ { 2 } = 1406 ( y - 32 )$
D) $x ^ { 2 } = - 1406 ( y - 32 )$
E) $x ^ { 2 } = - 64 ( y - 150 )$