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 for maximum height

The maximum height is the highest \( y - \) value on the graph. Looking at the vertical axis (height in feet), the highest point on the curve has a \( y - \) value of \( 13\) feet.

Step2: Analyze the graph for the \( x - \) value at maximum height

The \( x - \) axis represents the distance from the quarterback (in yards). At the point where the height ( \( y - \) value) is maximum (\( y = 13\)), the corresponding \( x - \) value (distance) is \( 15\) yards.

Answer:

The football's maximum height is \( 13\) feet. The distance of the football from the quarterback when it reaches its maximum is \( 15\) yards.