calculus

A parabola ,f, intersect the x axis at A and B and the y axis at C. The axis of symmetry of the parabola has the equation x=-3.The line through A and C has the equation g(x)=x+7. Determine the coordinates of A,B and C

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  1. (x+3)^2 = p (y-q)

    g = x + 7
    when g = 0, x = A
    0 = A + 7
    A = -7
    so A is 4 to the left of -3
    therefore B is 4 to the right of -3 or at B = +1
    so
    g = 7 at x = 0 so C = 7
    A = (-7,0)
    B = (1,0)
    C = (0,7)

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    posted by Damon

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