Help 1,2 ​

1)

y  =  (1/12)x^2   multiply both sides by 12

12y  = x^2

And we have the form

4py  =  x^2

4p  = 12

p  =3

The vertex  is  (0,0) ...the parabola turns upward   

The focus  is  ( 0, 0 + p )   =   (0, 3)

The directrix  is  y  =  -3

Third answer

2)

This parabola opens to the left  because the directrix  lies to the right of the vertex

So  we have the form

-4px  = y^2     ⇒   p   = 4.75

-4(4.75)x = y^2

-19x = y^2       divide both sides by  (-19)

x  =  (-1/19) y^2