help please? i have nooo idea how to do this..:(

The function y = -0.03x^2 + 160x models the path of a kicked soccer ball. The height is y, the distance is x, and the units are meters. How far does the soccer ball go? Describe a reasonable domain and range for the function.

Question

help please? i have nooo idea how to do this..:(

The function y = -0.03x^2 + 160x models the path of a kicked soccer ball. The height is y, the distance is x, and the units are meters. How far does the soccer ball go? Describe a reasonable domain and range for the function.

anonymous · Answer

i guess it goes straight up and then straight down
the maximum height is when $x=-\frac{b}{2a}=-\frac{160}{2(-.03)}=2666.
6$

anonymous · Answer

seems rather unrealistic

anonymous · Answer

in any case you can replace $x$ by $2666.6$ to find the maximum height, then double it to find the total distance traveled