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Math Help - Functions!

  1. #1
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    Functions!

    The second span of the bluewater Bridge in Sarnia, Ontario is supported by two possible arches. Each arch is set in concrete foundations that are on opposite sides of the st. clair river. The feet of the arches are 281 . apart. The top of each arch rises 71m above the river. Write a function to model the arch.
    Can someone please help on this ?
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  2. #2
    Senior Member sakonpure6's Avatar
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    Re: Functions!

    The roots are 0 and 281, so the middle of the parabola or the aos is 140.5. The vertex will be at (140.5,71)

    So,

    f(x)=a(x)(x-281)
    sub in the vertex and solve for a.

    71=a(140.5)(140.5-281)
    a= -284/78961

    There fore, the function is f(x)= -284/78961 (x)(x-281)
    Last edited by sakonpure6; February 6th 2013 at 02:53 PM.
    Thanks from darkangel06
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  3. #3
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    Re: Functions!

    Thankyou so much !
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