Question

In your lab, a substance's temperature has been observed to follow the function T(x) = (x - 2)3 + 8. The turning point of the graph is where the substance changes from a solid to a liquid. Explain to your fellow scientists how to find the turning point of this function, using complete sentences. i need help

Answer 1

Your turning point would be your vertex -also known as (h,k).
The original equation looks like -
F(x)=a(x-h) +k

Answer 2

okay what else there be ? @izzy2917

Answer 3

Well you need to get rid of that 3 sticking on the parenthesis so I would multiply everything in the parenthesis by 3.
This would give you T(x)= (3x-6) + 8
Looking at that your turning point would be (6,8).