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Math Help - Parabola

  1. #1
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    Parabola

    Draw y = (x^2/2) - 3x + 4 on the interval [0, 6].

    What are the coordinates of the turning point of the image of the graph of the given parabola after a reflection in the line y = 4?

    I graphed the function and found the point to be (3, 4).

    Is this right? If not, can you explain why?
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  2. #2
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    No, that is not correct.

    Since the coordinates of the vertex point are (3, -1/2) before reflecting, this point is located 4.5 units below the line y = 4.


    Therefore, after reflecting, the vertex point must be located 4.5 units above the line y = 4.

    Did you draw a picture of the reflected graph?
    Last edited by mmm4444bot; November 10th 2008 at 10:58 PM.
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  3. #3
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    I see..

    Quote Originally Posted by mmm4444bot View Post
    No, that is not correct.

    Since the coordinates of the vertex point are (3, -1/2) before reflecting, this point is located 4.5 units below the line y = 4.

    Therefore, after reflecting, the vertex point must be located 4.5 units above the line y = 4.

    Did you draw a picture of the reflected graph?
    The point would be (3, 17/2), right?
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  4. #4
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    Yes, that is correct.

    Any time you reflect an image across a line, all of the points on the reflected image must be the same distance from the axis of reflection as their corresponding points on the original image are.

    ~ Mark
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  5. #5
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    Will this help?

    You can draw it using "Function Drawing" (:
    [I'd be more than happy to see if that worked out]

    link: Drawing Tools
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  6. #6
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    ok..........

    Quote Originally Posted by mmm4444bot View Post
    Yes, that is correct.

    Any time you reflect an image across a line, all of the points on the reflected image must be the same distance from the axis of reflection as their corresponding points on the original image are.

    ~ Mark
    Thank you very much.
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  7. #7
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    thanks........

    Quote Originally Posted by ShaiDuvdevani View Post
    You can draw it using "Function Drawing" (:
    [I'd be more than happy to see if that worked out]

    link: Drawing Tools
    Thanks for your input.
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  8. #8
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    Thanks

    Youre most welcome (:
    Hope that worked out for you
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