Question

A baseball is thrown up into the air. The ball's height in feet is modeled by the equation h(t) = -16t2 + 32t + 10. (h = height, t = time in seconds)
Find the maximum height of the ball.

Answer 1

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

Answer 2

in this case
\[a=-16,b=32,-\frac{b}{2a}=1\]

Answer 3

replace h by 1 to get your answer. i get
\[-16+32+10=16+10=26\]