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Math Help - Having major issues with this problem - can someone get me started?

  1. #1
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    Having major issues with this problem - can someone get me started?

    "The relationship between the load on a reel, L (kilotons) per metre (L kNm-1) and the reel diameter, x meters, is modelled by a graph consisting of two parabolic arcs, AB and BC


    Picture of graph with L on the y-axis and x(meters) on the x axis with a parabola with points in order of A,D,E,F,B and C on the parabola.


    Arc AB is part of the parabola L=px^2 +qx+r. Points D(0.1, 2.025), E(0.2,2.9) and F(0.3, 3.425) lie on the arc AB. Set up a system of three simultaneous equations relating to p, q and r. DO NOT SOLVE EQUATIONS.

    Can anyone give me any help with this without the graph?

    Thank you so much!
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  2. #2
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    Re: Having major issues with this problem - can someone get me started?

    if three points (x_1,y_1) , (x_2,y_2) , (x_3,y_3) lie on the parabola y = px^2 + qx + r , then ...

    y_1 = px_1^2 + qx_1 + r

    y_2 = px_2^2 + qx_2 + r

    y_3 = px_3^2 + qx_3 + r
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