Reduce the following equation of parabol...

Reduce the following equation of parabola to a standard form, hence find the vertex focus and the equations of the directrix and equation of latus rectum : `4x-y^(2)+2y-13=0`.

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The correct Answer is:

`(y-1)^(2)=4(x-3)`, Vertex (3,1), Focus (4,1), Equation of directrix : x=2;
Equation of latus rectum : x=4

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