A Person 6' Tall Wants to Buy a Jump Rope

Multiple Choice

A person 6' tall wants to buy a jump rope. If , when the rope is at its lowest point, his hands will be 2' apart and 3' above the ground, and if the rope will take on the shape of a parabola just barely hitting the ground, how long must the rope be? [Consider the form of the rope to be described by the equation , with the origin being a spot on the ground underneath the jumper.]

A) 6.75 feet
B) 6.50 feet
C) 6.25 feet
D) 6.00 feet