Question

In your lab, a substance's temperature has been observed to follow the function T(x) = (x + 5)3 + 7. The turning point of the graph is where the substance changes from a liquid to a solid. 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. (10 points)

Answer 1

Thank you for asking this question. Here is your answer:

We will use the following formula for solving this question:

y = a(x - h)2+ k

And the turning point here would be (h,k)

We are given with this equation:

(x-2)² + 8

So the h will be 2 and k will be 8, so it would give us the vertex of (2,8)

So the final answer for this question is (2,8)

If there is any confusion please leave a comment below.