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. Hint: The turning point of the graph is similar to the vertex of a quadratic function.

the function T(x) = (x − 4)3 + 6. The distance between the highest point on the graph of y=-(x-.

Step-by-step explanation:

Look below

Step-by-step explanation:

f(x) = x^3

g(x) = f(x-4) which shifts f(x) 4 units to the right

g(x) = (x-4)^3

h(x) = g(x) + 6 shift g(x) 6 units up

h(x) = (x-4)^3 + 6

The turning point of f(x) is at (0,0),  then shift  4 units to the right and 6 units up, I got (4,6)

right

step-by-step explanation:

a negative exponent is translated as follows:

so, we have