Question 953726
Standard Form, {{{y=a(x-h)^2+k}}}.

{{{y-k=a(x-h)^2}}}
{{{a=(y-k)/(x-h)^2}}}


The example gives h=k=-1; and additional point (2,2).
{{{a=(2-(-1))/(2-(-1))^2}}}
{{{a=3/(3^2)}}}
{{{a=1/3}}}



Put the values in where needed to formulate the equation.


{{{highlight(y=(1/3)(x+1)^2-1)}}}