←
Key Equations

Key Equations

general form of a quadratic function f(x)=a x 2 +bx+c f(x)=a x 2 +bx+c
the quadratic formula x= −b± b 2 −4ac 2a x= −b± b 2 −4ac 2a
standard form of a quadratic function f(x)=a (x−h) 2 +k f(x)=a (x−h) 2 +k
general form of a polynomial function f(x)= a n x n + a n - 1 x n - 1 + ...+ a 2 x 2 + a 1 x+ a 1 f(x)= a n x n + a n - 1 x n - 1 + ...+ a 2 x 2 + a 1 x+ a 1
Division Algorithm f(x)=d(x)q(x)+r(x) f(x)=d(x)q(x)+r(x) where q(x)≠0 q(x)≠0
Rational Function f(x)= P(x) Q(x) = a p x p + a p−1 x p−1 +...+ a 1 x+ a 0 b q x q + b q−1 x q−1 +...+ b 1 x+ b 0 ,Q(x)≠0 f(x)= P(x) Q(x) = a p x p + a p−1 x p−1 +...+ a 1 x+ a 0 b q x q + b q−1 x q−1 +...+ b 1 x+ b 0 ,Q(x)≠0
Direct variation y=k x n ,k is a nonzero constant. y=k x n ,k is a nonzero constant.
Inverse variation y= k x n ,k is a nonzero constant. y= k x n ,k is a nonzero constant.