Question

Find the time it takes for a rocket following the path, h(x) = - 3x2 + 18x, to reach a maximum. In your final answer, include all of your calculations and a verbal explanation of the process that you followed in your solution.

Answer 1

it takes 3 seconds for it to get the the maximum height

Explanation:

well this is easy bc it is negative so we know it goes down, meaning the vertex will be at the top/highest point.

so all u gotta do is find the vertex which is x=-b/2a

now we gotta plug the numbers in and solve

h(x)=-3x^2+18x

x=-18/2(-3)=-18/-6=3

voilà there is the answer, 3 seconds