Question 1203574
Parabola?  The symmetry axis is y=2, and is a horizontal line.  Directrix is the {{{cross(horizontal)}}} line, x=2.  Directrix can also be shown as a general "point"  (2,y).


If you know the form of this equation then use that.  If you are unsure but you know the Distance Formula definition of parabola, then,....


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Choosing the distance formula

{{{(x-4)^2+(y-2)^2=(x-2)^2+(y-y)^2}}}

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carry out the steps
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{{{highlight((y-2)^2=4(x-3))}}}