Standard form for conics

Circles have both x² and y² and their coefficients are the same when equation is set = 0

Ellipses have both x² and y² and their coefficients are different, but have the same sign when equation is set = 0

Hyperbolas have both x² and y² and their coefficients have opposite signs when equation is set = 0

Parabolas have only one variable being squared

Put ALL the variables on 1 side and the constant on the other

Group like terms together

Factor any coefficients of the square terms forward

Do what we did with circles