a soccer ball is kicked from the ground. after travelling horizontal distance of 35m,it just pass over a 1.5m tall fence before hitting the ground 38m from where it was kicked. Determine the equationi of a quadratic function that can be used to model the parabolic path of the ball.

Answer 1

since the x-intercepts are 0 and 38
we can create the equation to be

height = a(x)(x-38)
but when x = 35 , height = 1.5

1.5 = a(35)((35-38)
1.5 = a(-105)
a = 1.5/-105 = -1/70

height(x) = (-1/70)(x)(x - 38)

convert to any suitable form that is needed.