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Explain how you know the roots are always symmetric around the x-coordinate of the vertex. Using this last idea, if a function has the roots

  1. Explain how you know the roots are always symmetric around the x-coordinate of the vertex.
  2. Using this last idea, if a function has the roots of x=4 and x=12, what is the x-coordinate of it's vertex?
  3. How does the discriminantrelate to this idea?

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