Key Equations

Key Equations

general form of a quadratic function	$f(x)=a{x}^2+bx+c$
standard form of a quadratic function	$f(x)=a{(x-h)}^2+k$

general form of a polynomial function

$f(x)=a_n{x}^n+\mathrm{...}+a_2{x}^2+a_{1}x+a_0$

Division Algorithm

$f(x)=d(x)q(x)+r(x)\text{where }q(x)\ne 0$

Rational Function

$f(x)=\frac{P(x)}{Q(x)}=\frac{a_p{x}^p+a_{p-1}{x}^{p-1}+\mathrm{...}+a_{1}x+a_0}{b_q{x}^q+b_{q-1}{x}^{q-1}+\mathrm{...}+b_{1}x+b_0}, Q(x)\ne 0$

Direct variation	$y=k{x}^n,k$ is a nonzero constant.
Inverse variation	$y=\frac{k}{x^n},k$ is a nonzero constant.