Question 1141304
Complete The Square and adjust the form to the one you want.


{{{f(x)=ax^2+bx+c}}}

{{{a(x^2+(b/a)x)+c}}}

{{{a(x^2+(b/a)x+(b/2a)^2-(b/2a)^2)+c}}}

{{{a((x+(b/(2a)))^2-(b/2a)^2)+c}}}

{{{a(x+(b/(2a)))^2-(b/(4a))+c}}}

{{{a(x+(b/(2a)))^2-(b/(4a))+4ac/(4a)}}}

{{{highlight(a(x+(b/(2a)))^2+(4ac-b)/(4a))}}}



You can now follow that as a formula.

Comparing to {{{a(x-h)^2+k}}},

{{{system(h=-b/(2a),k=(4ac-b)/(4a))}}}