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The given equation is y = x - 4x + 2 which can be written as y = -3x + 2 This is an equation of a straight line. Therefore it has no vertex and so cannot be written in vertex form.
y=x2-10x+30=(x-5)2-25+30=(x-5)2+5
By inspection you should be able to see that this is a parabola with a vertex of this. (0, 0) There is no form for this function as there is no linear term.
y=2(x-3)+1
The vertex of the positive parabola turns at point (-2, -11)