During a football game, a team has four plays, or downs to advance the football ten yards. After a first down is gained, the team has another four downs to gain ten or more yards. If a team does not move the football ten yards or more after three downs, then the team has the option of punting the football. By punting the football, the offensive team gives possession of the ball to the other team. Punting is the logical choice when the offensive team (1) is a long way from making a first down, (2) is out of field goal range, and (3) is not in a critical situation. To punt the football, a punter receives the football about 10 to 12 yards behind the center. The punter’s job is to kick the football as far down the field as possible without the ball going into the endzone. In Exercises 1–4, use the following information.
A punter kicked a 41-yard punt. The path of the football can be modeled by
y=−0.035x2+1.4x+1, where x is the distance (in yards) the football is kicked and y is the height (in yards) the football is kicked.
1. Does the graph open up or down?

2. Does the graph have a maximum value or a minimum value?

3. Graph the quadratic function.

4. Find the maximum height of the football.

5. How would the maximum height be affected if the coefficients of the "x2" and "x" terms were increased or decreased?