Question 1006633
{{{y=(3/2)x^2}}}


y plus or minus anything?  No.
x plus or minus anything? No.
Untranslated from standard position.
Sign of coefficient on x^2?  Positive.


Vertex at (0,0) and is a minimum, and symmetry axis is {{{x=0}}}, the y-axis.


Equation equivalent to  {{{(2/3)y=x^2}}}, if also viewed as  {{{4py=x^2}}}, the value of p tells you how far from the vertex is the focus and the directrix.  Some help with this is found in a video:  <a href="https://www.youtube.com/watch?v=M8LGsQMwwj4">Deriving equation for parabola for given vertex and focus</a>