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ax2 + bx + c intersect y-axis

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ax2 + bx + c intersect y-axis Post Fri Apr 13, 2012 8:26 am
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  • Lap #[LAPCOUNT] ([LAPTIME])
    If f(x) = ax2 + bx + c, and a is not equal 0. At what point does the graph of the function f(x) intersect the y-axis?

    1.The graph of f(x) intersects the x-axis exactly twice, at (-6, 0) and (-2, 0)

    2.a = 2

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    Post Fri Apr 13, 2012 8:48 am
    Shalabh's Quants wrote:
    If f(x) = ax2 + bx + c, and a is not equal 0. At what point does the graph of the function f(x) intersect the y-axis?

    1.The graph of f(x) intersects the x-axis exactly twice, at (-6, 0) and (-2, 0)

    2.a = 2
    f(x) = ax2 + bx + c;
    f(0)= c=?

    1) 36a-6b=-c
    4a-2b=-c
    2a-b=18a-3b
    =>2b=16a
    =>b= 8a

    Insufficient

    2)a= 2

    Insufficient

    1&2

    a= 2
    b= 16
    c= 24

    Sufficient

    Hence C

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