Level 1- 1 problem 1) Aylin is a professio nal softball player.The height (yards) of the softball after she hits it is given by the equation h(t)=48t-16t^2 , where t represents the time in seconds after the hit . What is the maximum height the softball reaches? 2

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Answer 1

To find the maximum height the softball reaches, we need to determine the vertex of the parabola represented by the equation

. The vertex of a parabola in the form

is given by the formula

.In this case, the equation is in the form

, so

and

.Using the formula for the vertex, we have:

Now, we can substitute

back into the original equation to find the maximum height:

Therefore, the maximum height the softball reaches is 36 yards.

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