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

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

   Hint (a):

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

   More Help (a):

   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.

   Hint (b):

   See hints from part (a).

   Answer (b):

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