Let the standard equation of parabola be y=a+bx+c ……. (1)
Let y be the altitude of the ball and x be the distance traveled by the ball.
Now by putting the points one by one, we get the required equation.
first point = (0,0)
golf ball travels a distance of 600 feet along the ground. Therefore point = (600,0)
At altitude of 200, it travels the distance of 300 feet(mid point) = (300,200)
By putting y=0 and x=0 in (1),
we get c=0,
By putting y=0 and x=600 we get
0 = 360000a+600b …………..(2)
By putting y=200 and x=300, we get
Solving (2) and(3) we get, a=-0.0022 and b = 1.32
So the required equation is :