Question 1171618
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<pre>

It is about finding the maximum of the quadratic function


    h(t) = -at^2 + bt + c.


The maximum is reached at t= - {{{b/(2a)}}}.


In your case,  a= -16, b= 12.


Therefore, the answer to the problem's question is  


    t = - {{{12/(2*(-16))}}} = {{{12/32}}} = {{{3/8}}} seconds.


The value of the maximum is


    {{{h(3/8)}}} = {{{-16*(3/8)^2 + 12*(3/8)}}} = 2.25 ft.


<U>ANSWER</U>.  The maximum height is  2.25 ft.
</pre>

Solved.


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&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/Briefly-on-finding-the-vertex-of-a-parabola.lesson>Briefly on finding the vertex of a parabola</A>

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