### Home > INT3 > Chapter 3 > Lesson 3.2.3 > Problem3-106

3-106.

At football practice the quarterback was throwing a football $22$ yards on average, and the ball was reaching a height of $5$ yards. Homework Help ✎

1. Write an equation to represent the typical path of the practice ball.

Draw a sketch of the football's projection to visualize the parabola.

Recall the graphing form for a parabola: $y=a(x−h)^2+k$

2. At the big game, the football was underinflated, and the quarterback was throwing an average of $26$ yards with the ball reaching a height of $6.2$ yards. Write an equation representing the typical path of the underinflated ball.

See hints from part (a).

$y=-\frac{6.2}{169}(x-13)^2 + 6.2$