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Math Help - solving vertex of absolute value

  1. #1
    rcs
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    solving vertex of absolute value

    Can anybody help me on this...


    What is the vertex of the graph y = 2 | 2x 3| ?


    how is it possible to be solve?


    Thanks
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  2. #2
    MHF Contributor MarkFL's Avatar
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    Re: solving vertex of absolute value

    You want to write it in the form:

    y=a|x-h|+k, where a\ne0 is a constant.

    Then, the point (h,k) is the vertex.
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  3. #3
    rcs
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    Re: solving vertex of absolute value

    Quote Originally Posted by MarkFL2 View Post
    You want to write it in the form:

    y=a|x-h|+k, where a\ne0 is a constant.

    Then, the point (h,k) is the vertex.
    do you mean that y = 2 | 2x 3| can be y = | 2x 3| + 2,,, and so the h = 3 and k = - 2 ? it this correct sir?
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    Re: solving vertex of absolute value

    Quote Originally Posted by rcs View Post
    What is the vertex of the graph y = 2 | 2x 3| ?

    I assume that by vertex yiou mean the 'sharp' point on the graph.

    That would be the maximum which occurs if |2x-3|=0.

    Draw the graph! You will see why.
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  5. #5
    MHF Contributor MarkFL's Avatar
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    Re: solving vertex of absolute value

    Quote Originally Posted by rcs View Post
    do you mean that y = 2 | 2x 3| can be y = | 2x 3| + 2,,, and so the h = 3 and k = - 2 ? it this correct sir?
    No, I mean write it as y=-2\left|x-\frac{3}{2} \right|+2
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  6. #6
    rcs
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    Re: solving vertex of absolute value

    How did you get y = -2 |x - 3/2| + 2 ... When the original was y = 2 - |2x-3| sir?
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