Question 387953
{{{ x=3y^2+12y+6 }}}
Yes, set x = 0:
{{{ 0=3y^2+12y+6 }}}
divide both sides by 3:
{{{ 0=y^2+4y+2 }}}
Since you can't factor you must resort to the quadratic formula.  Doing so, yields:
y = {-0.586, -3.414}
so, the y-intercepts are at:
(0, -0.586) and (0, -3.414)
.
details of quadratic follows:
*[invoke quadratic "y", 1, 4, 2 ]