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26 June, 13:10

What is the line of symmetry for the parabola whose equation is y = x2 - 12x + 7?

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  1. 26 June, 15:21
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    Line of symmetry is x=6
  2. 26 June, 17:08
    0
    So the equation of this parabola is a quadratic which means there is a handy formula to find the line of symmetry. The general quadratic form is ax^2 + bx + c, so for our equation:

    a=1

    b=-12

    c=7

    The handy formula to find the line of symmetry of a parabola like this is:

    x = - b/2a, where x equals the line.

    With this we can determine that our line is 12/2 which equals 6.

    Our line is at x=6
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