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.
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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.
The vertex of the positive parabola turns at point (-2, -11)
You would convert it to vertex form by completing the square. You can also find the optimum value as optimum value and vertex are the same.
The vertex is the origin, (0,0).
The vertex is at (-1,0).