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

Titus works at a hotel. part of his job is to keep the complimentary pitcher of water at least half full and always with ice. when he starts his shift, the water level shows 4 gallons, or 128 cups of water. as the shift progresses, he records the level of the water every 10 minutes. after 2 hours, he uses a regression calculator to compute an equation for the decrease in water. his equation is w –0.414t + 129.549, where t is the number of minutes and w is the level of water. according to the equation, after about how many minutes would the water level be less than or equal to 64 cups?