Question

Help please??

Answer 1

In your lab, a substance's temperature has been observed to follow the function T9x)=(x-2)^3+8. The turning point of the graph is where the substance changes from a solid to a liquid. Explain how to find the turning point of this function, using complete sentences.

Answer 2

@ybarrap ?? Again maybe?

Answer 3

So is your function
$$
T(x)=(x-2)^3+8
$$
?

Answer 4

I guess

Answer 5

T(x) is a quadratic function. If that "2" wasn't there, you would have:
$$
T(x)=x^2+8
$$
If that 8 wasn't there, you would have:
$$
T(x)=x^2
$$

Do you know what \(x^2\) looks like?

Answer 6

x*x
?

Answer 7

This is what it looks like: Notice it's just a curve and has a minimum at x=0.


But T(x)=(x-2)^2, this means that x^2 is shifted to the right, but has the same shape: