A softball is thrown up into the air. The ball's height in feet is modeled by the equation h(t) = -16t2 + 32t + 5.
h = height
t = time in seconds
Find the maximum height of the ball.
a) 13.9 feet
b) 12.2 feet
c) 7.6 feet
d) 8.3 feet

Question

A softball is thrown up into the air. The ball's height in feet is modeled by the equation h(t) = -16t2 + 32t + 5.
h = height
t = time in seconds
Find the maximum height of the ball. 
a) 13.9 feet
b) 12.2 feet
c) 7.6 feet
d) 8.3 feet

anonymous · Answer

magic formula for vertex is 
$$-\frac{b}{2a}$$

anonymous · Answer

maximum and minimums of parabolas occur at the vertex.

x=-b/2a...then plug in for h

anonymous · Answer

in this case 
$$-\frac{32}{2\times -16}=1$$