Question 1076439
Points (x,y) are same distance from  point (-12,0) as from point (12,y).


{{{sqrt((x-(-12))^2+(y-0)^2)=sqrt((x-12)^2+(y-y)^2)}}}


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{{{(x+12)^2+y^2=(x-12)^2+0}}}
{{{x^2+24x+144+y^2=x^2-24x+144}}}
{{{24x+y^2+144=-24x+144}}}
{{{48x+y^2=0}}}
{{{highlight(48x=-y^2)}}} OR  {{{highlight(x=-(1/48)y^2)}}}





<a href="https://www.youtube.com/watch?v=M8LGsQMwwj4">example, equation of parabola, given focus and directrix</a>