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find the x intercepts of a parabola whenthe vertex is at 2,13 and y intercept at 0,5

  • math - ,

    the generic equations of parabola is:


    by information of the vertex 2;13 i have two facts:
    i) 13=a*2^2+b*2+c ....replacing(2;13)
    ii)the director of the vertex as equation:

    by information "intercept at 0,5 ":
    iii)5=a*0^2+b*0+c ....replacing(0;5)

    tre equation tre unknowns a,b,c
    you solve the system

  • math - ,

    i forgot to specify in ii) x=-b/(2a) => 2=-b/(2a)

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