Assignment due tomarrow need help bad

[Oshane1515]

I need help I don't get the question so did no work please help

The path of a soccer ball can be modelled by the equation

h=-0.06d(d-50), where h represents the height, in metres, of the soccer ball above the ground and d represents the horizontal distance, in metres, of the soccer ball from the player

a) sketch a graph of this relation
b) at what horizontal distance does the soccer ball land?
c) at what horizontal distance does the soccer ball reach it's maximum height? What is it's maximum height?

 

[arthur ohlsten]

1)
h=-.06d[d-50] expand
h=- .06[d^2-50d] complete the square
h=-.06[d^2-50d+25^2]+.06[25]^2
h=-.06[d-25]^2+37.5 a parabola open down vertex at 25,37.5
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2)
when h=0 what is d?
d=0 or d=50
d=0 is start d=50 is where it lands
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3)
maximum ht at d=25
h=-.06[25][25-50]
h=-1.5[-25]
h= 37.5

Arthur