Question

Hey I need some help, I think I know this answer but not completely sure...

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. Using complete sentences in your written answer, explain to your fellow scientists how to find the turning point of this function. Hint: The turning point of the graph is similar to the vertex of a quadratic function.

Since the equation is already in vertex form (I believe) would the vertex just be (2, 8)?

Answer 1

anyone?

Answer 2

@Nnesha

Answer 3

you are right

Answer 4

@baru when explaining it do I just mention how it is already in vertex form I can infer that it is the vertex. I don't have any like equation to do right?

Answer 5

you can graph the function here and double check
https://www.desmos.com/calculator

Answer 6

@baru thank you man!

Answer 7

(T-8) = (x − 2)^3

technically that is the vertex form

the vertex form is (in general)
(y-k)= f(x-h) where (h,k) is the vertex

Answer 8

ok thank you, I didn't know that was a possible vertex form but I have it written down, as the one I learned was y=a(x-h)^2+k, where (h, k) is the vertex, but thank you again @baru :D

Answer 9

both are really the same-thing...follow whichever you are more comfortable with :)