Question

a football is thrown by a quarterback to a receiver. the points in the figure show the height of the football, in feet, above the ground in terms of its distance, in yards, from the quarterback. use this information to solve the problem. what is the footballs maximum height? what is its distance from the quarterback when it reaches its maximum? the footballs maximum height is (square) feet. (type an integer or decimal rounded to the nearest tenth as needed.) the distance of the football from the quarterback when it reaches its maximum is (square) yards. (type an integer or decimal rounded to the nearest tenth as needed.)

Explanation:

Step1: Analyze the graph

The \(y\) - axis represents the height of the football (in feet) and the \(x\) - axis represents the distance from the quarterback (in yards). The maximum height occurs at the highest point of the graph.

Step2: Locate the maximum point

Looking at the graph, the highest \(y\) - value (height) is \(13\) feet. To find the corresponding \(x\) - value (distance) at this maximum height, we observe the \(x\) - coordinate of the highest point on the graph. The \(x\) - coordinate at the maximum height is \(6\) yards.

Answer:

The football's maximum height is \(13\) feet.
The distance of the football from the quarterback when it reaches its maximum is \(6\) yards.