A ride at a carnival moves on a circular path with diameter 80ft. What is the approximate distance of one complete loop?
5 points

The turning point of the function is

(x,T(x)) = (2, 8)

Step-by-step explanation:

Since we have an explicit representation of the process, given by the equation T(x), we can easily know what is going with the experiment if we plot T(x) using any graphing calculator or tool.

Please see attached image.

We know that the vertex of a quadratic equation is the maximum or minimum point of the function.

If we look at the graph, concavity changes exactly at x =2

T(x) = (x − 2)^3 + 8

T(x) = (2 − 2)^3 + 8

T(x) =  8