The function y=-0.003x^2+1.60x 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 travel? How high does the soccer ball go? describe a reasonable domain and range for the function.

Question

anonymous · Answer

How much will the height (y) be when the ball falls down?

anonymous · Answer

i dont know..:/  if its down, then 0?

anonymous · Answer

Exactly!
So for what distance x do you have that -0.003x^2+1.60x = 0?

anonymous · Answer

not sure..:/ what would it be?

anonymous · Answer

can you please help me? what do i do first?

anonymous · Answer

$$ -0.003x^2+1.60x = 0$$$$x( -0.003x+1.60) = 0$$$$x=0$$ or $$-0.003x+1.60 = 0$$
Can you solve $$-0.003x+1.60 = 0$$?

anonymous · Answer

how do i solve it? what do i need to do?

anonymous · Answer

Well, you can isolate the x, so you get
$$-0.003x=-1.60 \rightarrow x = 1.60/0.003 = 533.333$$

anonymous · Answer

To find how high the ball goes you have to find the vertex of the parabola, do you know how to do that?

anonymous · Answer

no