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The height of a soccer ball that is kicked from the ground can be approximated by the function:y = -12x^2 + 48x where y is the height of the soccer ball in feet x seconds after it is kicked. What is the soccer ball's maximum height in feet?​

 Aug 10, 2020
 #1
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If you find the vertex, you will have the highest point.

 

One way to find the vertex is to complete the square:

 

         y  =  -12x2 + 48x

         y  =  -12(x2 - 4x)         

         y  =  -12(x2 - 4x + 4) + 48

         y  =  -12(x - 2)2 + 48

 

When  x = 2  the height will be  y = 48.

 Aug 10, 2020

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