A quadratic polynomial y =f(x) with abso...

A quadratic polynomial `y =f(x)` with absolute term 3 neither touches nor intersects the abscissa axis and is symmetric about the line `x=1`. The coefficient of the leading term of the polynomial is unity. A point A`(x_1, y_1)` with abscissa `x_1` and a point B`(x_2,y_2)` with ordinate `y_2=11` are given in a cartisan rectangular system of co-ordinates OXY in the first quadrant on the curve `y=f(x)` where 'O' is the origin. Now answer the following questions: Vertex of the quadratic polynomial is

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