Directrix is x =1, so it is horizontal parabola.Vertex is between the focus and directrix on equal distance 5-x=x-1, 2x=6,
x=3. y -coordinate of the vertex for this parabola equals y-coordinate of the focus.
Vertex (3,2).
Focus has x=5 >1, so it is directed to the right.[tex](y-y_{0})^{2}=4p(x-x_{0})
\\(y-2)^{2}=4p (x-3)
p is a distance between vertex and focus,
and equals abs(p)=abs(5-3)= 2
\\(y-2)^{2}=(4*2) (x-3)
\\(y-2)^{2}= 8 (x-3)
[/tex]
