SOLUTION: I am having trouble finding the particular equation for the quadratic function described in the following situation. The quarterback is standing on the opponents' 40-yard line. He

Question 76783: I am having trouble finding the particular equation for the quadratic function described in the following situation.
The quarterback is standing on the opponents' 40-yard line. He throws a pass toward their goal line. The ball is 2 meters above the ground when the quarterback lets it go. It follows a parabolic path, reaching its highest point, 14 meters above the ground, as the 20-yard line.
Can you help
Answer by Nate(3500) (Show Source): You can put this solution on YOUR website!
at 0 yards away from the quarterback the ball is 2 meters above the ground
(0,2)
at the vertex, the ball is 20 yards away from the quarterback and 14 meters high
(20,14)
y = a(x - h)^2 + k
y = a(x - 20)^2 + 14
2 = a(0 - 20)^2 + 14
-12 = 400a
-3/100 = a
Equation: y = (-3/100)(x - 20)^2 + 14

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