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There are 2 kinds of equations for the parabola  and in your case, your parabola is facing upward and the equation for a parabola facing upward is,
Your h and your k are the coordinates of your vertex. (3,2)=(h,k)
Therefore, from the equation, you get:       

Your focus is equivalent to (h,k+a) so to get a,
you subtract k from k+a.
K=2        k+a=4
4 - 2 = 2
Therefore:              (x-3)^2=4(2)(y-2)            (substitute)                             
                            X^2-6x+9= 8y-16                 (simplify)
                         X^2-6x-8y+25=0                     (standard form)
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