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We get that the standard formula of a parabola is:
[tex](y-k)^2=4p(x-h)[/tex]if the parabola is a vertical one
[tex](x-h)^2=4p(y-k)[/tex]if the parabola is an horizontal one.
In both cases the vertex coordinates are: (h,k).
therefore in all the cases of question 1 the vertex is (0,0)