Question 927264
the vertex form of a Parabola opening up(a>0) or down(a<0), 
{{{y=a(x-h)^2 +k}}} 
where(h,k) is the vertex  and  x = h  is the Line of Symmetry , 
the focus is (h,k + p), With Directrix y = (k - p), a = 1/(4p)
............


y=1/8(x-1)^2 Parabola Opening Upward a = 1/8 > 0
vertex,  (1,0)
value of p, a = 1/8 = 1/(4p), p = 2
axis of symmetry, x = 1
focus (1, 2)
Directrix: y = -2 
...........
the vertex form of a Parabola opening right(a>0) or left(a<0), 
{{{x=a(y-k)^2 +h}}}
 where(h,k) is the vertex and  y = k  is the Line of Symmetry,
the focus is (h +p,k ), With Directrix x = (h - p) , a = 1/(4p)
..........
2. x=2y^2 +1
vertex,  (1,0)
value of p, a = 2 = 1/(4p), p = 1/8
axis of symmetry, y = 0
focus (9/8, 0)
Directrix: x = 7/8
.......
3. x=1/2(y+1)^2 + 2
vertex,  (2,-1)
value of p, a = 1/2 = 1/(4p), p = 1/2
axis of symmetry, y = -1
focus (2.5, -1)
Directrix: x = 1.5