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Math Help - line of symmetry of a function

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    Cool line of symmetry of a function

    what is the equation of the axis of symmetry for this function?
    y = ( x-3)(x-7)
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    Quote Originally Posted by ecdino2 View Post
    what is the equation of the axis of symmetry for this function?
    y = ( x-3)(x-7)
    For parabolic equations this is always through the vertex. When the equation is in intecept form the vertex is always the midpoint of the x-intercepts.

    So for the above the vertical line is x=...
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    Quote Originally Posted by ecdino2 View Post
    what is the equation of the axis of symmetry for this function?
    y = ( x-3)(x-7)
    It's half way inbetween our zeros. So,

     x_{sym} = \frac{ 7 + 3 }{2} = 5
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