Suppose you kick a football and its movement can be modeled by a parabola. after 1 second its height is 15 feet above ground, after 2 seconds its height is 14 feet above ground, and after 3 seconds its height is 9 feet above ground.
a.find the equation of the parabola that models this behavior. y = -2x2 + 5x +12
b.after how many seconds does the ball hit the ground? 4 seconds