center at (2,1) because it is the midpoint of the focus (2,4) and the the point passing by directrix (2,-2).
the latus rectum is equal to 12 because p=3 which is the distance from the center to the focus and the formula of getting latus rectum is 4p then p=3 so therefore latus rectum is equal to 12
the equation of the parabola opens upward so it is " (x-2)^2=12(y-1) "
