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Key Equations

Key Equations

general form of a quadratic function f(x)=a x 2 +bx+c f(x)=a x 2 +bx+c
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 2 x 2 + a 1 x+ a 0 f(x)= a n x n +...+ a 2 x 2 + a 1 x+ a 0
Division Algorithm f(x)=d(x)q(x)+r(x)where q(x)≠0 f(x)=d(x)q(x)+r(x)where 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 y=k x n ,k is a nonzero constant.
Inverse variation y= k x n ,k y= k x n ,k is a nonzero constant.