15. Serge and a friend are throwing a paper airplane to each other. They stand 5 m apart from each other and catch the airplane at a height of
1 m above the ground. Serge throws the airplane on a parabolic flight
path that achieves a minimum height of 0.5 m halfway to his friend.
a) Determine a quadratic function that models the flight path for the
height of the airplane.
b) Determine the height of the plane when it is a horizontal distance
of 1 m from Serge's friend.
c) State the domain and range of the function.