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Thread: Axis of symmetry made simple.

  1. #1 Axis of symmetry made simple. 
    Forum Sophomore Eleven's Avatar
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    The formulae for a parabola is:

    Ax^2+Bx+C=Y

    If Y=0 then X = (-B +/- SQUROOT(B^2-4AC))/2A

    Except for the point on the axis of symmetry, each value for Y will have two (extraneous) answers.

    In figuring the axis of symmetry, we know that it lies midway between the positive and negative values of the equation.

    Simply adding these values together and dividing by two will get us the "average" value.

    ((-B + SQUROOT(B^2-4AC))/2A + (-B - SQUROOT(B^2-4AC))/2A)/2

    The positive and negative cases cancel out, leaving

    (-2B/2A)/2

    Hence the equation for the axis of symmetry is:

    -B/2A


    Always take hold of things by the smooth handle.

    An enemy generally says and believes what he wishes.

    Thomas Jefferson
     

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  3. #2  
    Moderator Moderator John Galt's Avatar
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    Eleven, go take a run round Bachman Lake. It will make you feel better.


     

  4. #3 Re: Axis of symmetry made simple. 
    Forum Ph.D. Heinsbergrelatz's Avatar
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    Quote Originally Posted by Eleven
    The formulae for a parabola is:

    Ax^2+Bx+C=Y

    If Y=0 then X = (-B +/- SQUROOT(B^2-4AC))/2A

    Except for the point on the axis of symmetry, each value for Y will have two (extraneous) answers.

    In figuring the axis of symmetry, we know that it lies midway between the positive and negative values of the equation.

    Simply adding these values together and dividing by two will get us the "average" value.

    ((-B + SQUROOT(B^2-4AC))/2A + (-B - SQUROOT(B^2-4AC))/2A)/2

    The positive and negative cases cancel out, leaving

    (-2B/2A)/2

    Hence the equation for the axis of symmetry is:

    -B/2A
    ok so what is your point?
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    "Mathematicians stand on each other's shoulders."- Carl Friedrich Gauss


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  5. #4  
    Forum Sophomore Eleven's Avatar
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    Eleven, go take a run round Bachman Lake. It will make you feel better.
    I thought I was feeling pretty good.
    Come to think of it, I am too old and unhealthy to run around Bachman Lake.
    You from Dallas? Do you run?
    How are you allowed more space for "interests" in your profile that me?

    ok so what is your point?
    ok so what is your point?
    Always take hold of things by the smooth handle.

    An enemy generally says and believes what he wishes.

    Thomas Jefferson
     

  6. #5  
    Forum Ph.D. Heinsbergrelatz's Avatar
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    Quote Originally Posted by Eleven
    Eleven, go take a run round Bachman Lake. It will make you feel better.
    I thought I was feeling pretty good.
    Come to think of it, I am too old and unhealthy to run around Bachman Lake.
    You from Dallas? Do you run?
    How are you allowed more space for "interests" in your profile that me?

    ok so what is your point?
    ok so what is your point?
    my point is why the hell are you posting simple quadratic equations which almost everyone who went to high school knows about.
    ------------------




    "Mathematicians stand on each other's shoulders."- Carl Friedrich Gauss


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  7. #6  
    Moderator Moderator John Galt's Avatar
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    Quote Originally Posted by Eleven
    Come to think of it, I am too old and unhealthy to run around Bachman Lake.
    You from Dallas? Do you run?
    Not from Dallas, but I've run around the Lake a time or twenty, but that was many years ago. Now the only running I do is to the bathroom in the middle of the night.
     

  8. #7  
    Forum Sophomore Eleven's Avatar
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    my point is why the hell are you posting simple quadratic equations which almost everyone who went to high school knows about.
    "why the hell" didn't you say that the first time. And why do people like you quote the whole post? (Redundant)

    In my (cheap) High School they taught us to find the axis of symmetry through six steps, I always wrote my own formulae and I came up with a one-step formula.

    I should have given you the chance to solve it first. Now we all must assume you would have done it my way, or better.

    Tell me something interesting, you are so good at math.

    What problem have you solved with math that noone else (mathematician or otherwise) has solved?
    .......

    You are likely as Redundant as a McDonalds cheeseburger. The world would never have been any different without you.

    Solve this, or I'll show you how to solve it.
    Image we erase the formula for figuring the surface area of a cone.
    Can you logically explain the steps in rebuilding the formula? (This is easy).

    Now the only running I do is to the bathroom in the middle of the night.
    I hear that.

    I appear healthy, people think I don't deserve my Handicap sticker.
    Always take hold of things by the smooth handle.

    An enemy generally says and believes what he wishes.

    Thomas Jefferson
     

  9. #8  
    Forum Sophomore Eleven's Avatar
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    This question requires brains, the answer cannot be found, copied and pasted.

    Apparently you cannot do math as you advertize. (The one thing you were supposed to be good at).

    Obviously you lash out out of unhappiness.

    Stay on the net. If you acted that that in real life people would beat the hell out of you.

    I feel sorry for you.

    Next....
    Always take hold of things by the smooth handle.

    An enemy generally says and believes what he wishes.

    Thomas Jefferson
     

  10. #9  
    Comet Dust Collector Moderator
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    Who the heck are you talking to? Yourself?
     

  11. #10  
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    From now on nobody, because.....

    ......thread locked. We do not welcome arrogant and abusive fools here, Eleven
     

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