Equation of a parabola: (x - h)²<span> = 4p (y - k), where the </span>focus<span> is (h, k + p) and the </span>directrix<span> is y = k - p in this case, the directric is x=6, so the parabola opens sideways, the equation becomes </span>(y<span> - </span>k)²<span> = 4p (</span>x<span> - </span>h<span>), where the </span>focus is (h<span> + </span>p<span>, </span>k) and the directrix is x<span> = </span>h<span> - </span>p<span>. </span>h-p=6 h+p=-2 solve: h=2, p=-4 k=6 plug in the h, p, and k values, so the equation is (y-6)²=-16(x-2)