Question

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.

Answer 1

Answer:Look below

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)