Asoccer ball is kicked from the ground in an arc defined by the function, h(x) = -8x 2 + 64x. at what point does the ball hit the ground?
(0,4)
(0,8)
(4,0)
(8,0)

The soccer ball hit the ground at (8, 0)

Solution:

To find at what point the ball hit the ground we make the given function equal to zero.

Here the given function is

We make h(x) = 0 and try to find the value of x

h(x) = 0

-8x (x - 8) = 0

-8x = 0 or (x - 8) = 0

Therefore x = 0 or x = 8

At x= 0 the ball was not kicked. Now we try to find the value of the function by substituting x = 8 in the given function and find the value of the function.

=-512 + 512  = 0

Thus the ball hit the ground at (8,0).

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