1. Football Problem Shelby Hampton and Katie Petersen

2. The height of a punted football can be modeled with the quadratic function: h=-0.01x²+1.18x+2 The y-intercept of this equation is 2. This represents the ball starting 2 feet off the ground.

3. Vertex Vertex: x=-b/2a x=-1.18/2(-.01) x=59 – Plug this into equation and solve for y Vertex=(59,36.81)

4. Vertex equation y=-.01(x-59)²+36.81

5. The nearest defensive player is 5ft horizontally form the point of impact. How high must the player reach to block the punt? y=-.01(5-59)²+36.81 y=7.65 feet

6. What is the ball’s height when it has traveled 20 yards downfield? 1yd=3ft 20yds(3)=60ft y=-.01(60-59)²+36.81 y=36.8 feet

7. How far downfield has the ball traveled when it reaches a height of 6 ft.? 6=-.01(x-59)²+36.81 3.5 ft.=x

8. When does the ball hit the ground? 0=-.01(x-59)²+36.81 119.6 ft=x approx. 40 yards downfield