Question 1196172
Maybe you mean {{{g(x)=ax^2+bx+2}}}, and for known points (-2,6) and (3,11) ?



Using the given points,
{{{system(4a-2b+2=6,9a+3b+2=11)}}}


and steps to solve for a and b,
{{{system(4a-2b=4,9a+3b=9)}}}


{{{system(2a-b=2,3a+b=3)}}}


Add corresponding members:
{{{5a=5}}}
{{{highlight(a=1)}}}
and you can easily solve for b,.....