Question 1162872
Use the definition for Parabola based on the Distance Formula.


All points (x,y) equally distant from (5,-2) and (x,1).


{{{(x-5)^2+(y+2)^2=(x-x)^2+(y-1)^2}}}, and simplify from here,...

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If no mistakes made done on paper, then  {{{6y+3=-(x-5)^2}}}.