anonymous
  • anonymous
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.
Mathematics
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SOLVED
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katieb
  • katieb
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sweetburger
  • sweetburger
is that \[(x-4)^3 + 6 \] ?
anonymous
  • anonymous
is that x3-65+6
anonymous
  • anonymous
oh lol yes it is

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anonymous
  • anonymous
(x-4)^3+6 is right
anonymous
  • anonymous
any ideas?
anonymous
  • anonymous
@sweetburger ? @peachpi
anonymous
  • anonymous
If that were a parabola with the equation \[y=(x-4)^2+6\] what would the vertex be?
anonymous
  • anonymous
4
anonymous
  • anonymous
4 would be the x-coordinate. what would be the y?
anonymous
  • anonymous
6
anonymous
  • anonymous
yes?
anonymous
  • anonymous
rights so the turning point is (4, 6)
anonymous
  • anonymous
Is that it?
anonymous
  • anonymous
yes
anonymous
  • anonymous
Ok. I have another question The change in water level of a lake is modeled by a polynomial function, W(x). Describe how to find the x-intercepts of W(x) and how to construct a rough graph of W(x) so that the Parks Department can predict when there will be no change in the water level. You may create a sample polynomial of degree 3 or higher to use in your explanations.
anonymous
  • anonymous
That looks like a much longer question, and I'm actually about to log off. create your function and then a new question. Somebody asked this yesterday, maybe see what they got.
anonymous
  • anonymous
Really? Okay :) I'll see if I can find it

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