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Examine the function $y = x^2 - 4x + 3$ and determine:

  • if the curve has a maximum or minimum point?
  • the function's zeroes
  • the function's line of symmetry,
  • coordinates of the turning point
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    Can you graph it?2012-04-01

1 Answers 1

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To answer all your questions, try to complete the square so that the function is written in the form $y = a(x-b)^2 + c.$ In this form, it is easy to determine whether the function has a maximum or a minimum (this will depend on the value of $a$), the zeros (this will depend on $a$, $b$, and $c$), the line of symmetry (depends on $b$), and the turning point (again, depends on $b$).