Question 1062085
The first point described is  (0,-4).
{{{a*0^2+b*0+c=-4}}}
{{{highlight_green(c=-4)}}}


Next two points give equations  {{{system(a*(-2)^2+b(-2)-4=8,a*1^2+b(1)-4=-2)}}}


{{{system(4a-2b=12,a+b=2)}}}


{{{system(2a-b=6,a+b=2)}}}---------and this system of LINEAR equations in variables a and b should be easy to solve.


You should now be able to solve for a and b, and your form as y=ax^2+bx+c is GENERAl FORM, not "standard form".