In your lab, a substance's temperature has been observed to follow the function T(x) = (x − 4)^3 + 6. The turning point of the graph is where the substance changes from a liquid to a gas. Using complete sentences in your written answer, explain to your fellow scientists how to find the turning point of this function.

Question

ikou · Answer

I think that the turning point is (4, 6)

civicsiscool44 · Answer

yes i believe so

ikou · Answer

How would I explain it?

ikou · Answer

Thanks for the help people that didnt bother to help, not like im trying to get time off for christmas to spend with my family stress free! Helpful community 10/10 would ask for help again!

taemin · Answer

The function T = x^3 has a turning point at x = 0.  We can determine this simply by looking at the graph T = x^3.  Therefore, (0,0) is the turning point for the graph T = x^3.

The function T(x) = (x - 4)^3 + 6 will be the graph T = x^3 shifted to the right by 4 units and shifted up by 6 units.  Therefore, the turning point will also shift from (0,0) to 4 units to the right and 6 units up.  The turning point will be (4,6) for the function T(x) = (x - 4)^3 + 6.

ikou · Answer

Honest to god you are the most helpful person on this site