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Math Help - which is an equation of the axis of symmetry of the graph of the equation y=x2-6x+2

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    which is an equation of the axis of symmetry of the graph of the equation y=x2-6x+2

    Castle learning question

    which is an equation of the axis of symmetry of the graph of the equation y=x2-6x+2?
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    Re: which is an equation of the axis of symmetry of the graph of the equation y=x2-6x

    Quote Originally Posted by strdatmage View Post
    which is an equation of the axis of symmetry of the graph of the equation y=x2-6x+2?
    Did you draw the graph and look at it?
    Is it true that y=x^2-6x+2=(x-3)^2-7~?
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    Re: which is an equation of the axis of symmetry of the graph of the equation y=x2-6x

    Quote Originally Posted by strdatmage View Post
    Castle learning question

    which is an equation of the axis of symmetry of the graph of the equation y=x2-6x+2?
    Your equation describes a parabola opening up. Thus the symmetry axis passes through the vertex of the parabola.

    Complete the square and determine the x-coordinate of the vertex:

    y=x^2-6x+2 = (x^2-6x \color{red}+ 9) - 9\color{black}+2= (x-3)^2-7
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    Re: which is an equation of the axis of symmetry of the graph of the equation y=x2-6x

    Hello, strdatmage!

    Which is an equation of the axis of symmetry of the graph of: . y\:=\:x^2-6x+2\,?

    It is worthwhile to learn this formula . . .

    For the parabola: y \:=\:ax^2 + bx + c
    . . the axis of symmetry is: . x \:=\:\frac{\text{-}b}{2a}

    [Think of the "front half" of the Quadratic Formula.]


    In this problem: . a = 1,\;b = \text{-}6,\;c = 2

    We have: . x \:=\:\frac{\text{-}(\text{-}6)}{2(1)} \:=\:3


    The axis of symmetry is the vertical line: x \,=\,3.
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