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Sagot :
The function [tex]H(t) = -16t^2 + 64t[/tex] exists in a parabola.
The axis of symmetry of a parabola exists at the midpoint between the two real roots.
The roots exist the solutions of H(t) = 0
To estimate the roots equation exists [tex]-16t^2 + 64t = 0[/tex]
Factor t(-16t + 64) = 0
t = 0 and -16t + 64 =0
-16t + 64 = 0
t = 64 / 16 = 4
t = 4
Then the two roots are t = 0 and t = 4, and the axis of symmetry exists
t = (0+4)/2 = 4/2 = 2
How to estimate the axis of symmetry?
The axis of symmetry exists at t = 2.
It represents the time at which the ball is at the higher point, the maximum height.
You can find the maximum height replacing t = 2 in the function H(t)
[tex]H(t) = -16(2^2) + 64(2)[/tex]
= 64 feet.
And you can also deduce that the second part of the flight will take 2 seconds, for a total flight time of 4 seconds.
To learn more axis of symmetry refers to:
https://brainly.com/question/21191648
#SPJ4
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