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Math Help - Questions on graph transformations...

  1. #1
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    Questions on graph transformations...

    Hello! Please please please help! I am stuck at graph transformation questions... Thank you!

    2)
    The equation of a graph is y = (ax)/(bx-1), and y= c is the horizontal asymptote while x = d is the vertical asymtote of this graph. Given that c = d = 1/2, what are the values of a and b?

    3) Given the graph of y = (ax)/(bx-1), what transformations do I need to perform on the graph to obtain the graph of y = |(ax)/(bx+1)|?

    4) The curve of y = x^2 + (3/x) undergoes a reflection about the line y=4 and the point (2, 5.5) is mapped onto (2, 2.5). Hence find the equation of the new curve in the form y = f(x).

    Thank you!
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  2. #2
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    2)
    For vertical asymptote:
    make the denominator equal to zero
    so you'll have: bx-1=0
    now solve for x, x=1/b
    now make x=1/2
    so, 1/b=1/2
    therefore b=2

    now for the horizontal asymptotes, make x go to infinity on the numerator and denominator, so you will end up pretty much with:
    ax/bx, x's go away and now you have:
    a/b, you know b=2, so: a/2 must be equal to 1/2
    so a=1



    Someone please confirm this.
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  3. #3
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    To enmascarado: Hello! I can understand your method...thank you very much!

    Can someone please help me with the other 2 questions too?
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