BASIC CURVES

$y = m x + b$ $y = m x + b$
$y = a x^{2} + b x + c (a > 0)$ $y = a x^{2} + b x + c (a > 0)$
$y = a x^{2} + b x + c (a < 0)$ $y = a x^{2} + b x + c (a < 0)$
$x^{2} + y^{2} = a^{2}$ $x^{2} + y^{2} = a^{2}$
$y^{2} = 4 p x (p > 0)$ $y^{2} = 4 p x (p > 0)$
$x^{2} = 4 p y (p > 0)$ $x^{2} = 4 p y (p > 0)$
$\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} = 1$ $\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} = 1$
$\frac{y^{2}}{a^{2}} + \frac{x^{2}}{b^{2}} = 1$ $\frac{y^{2}}{a^{2}} + \frac{x^{2}}{b^{2}} = 1$
$\frac{x^{2}}{a^{2}} - \frac{y^{2}}{b^{2}} = 1$ $\frac{x^{2}}{a^{2}} - \frac{y^{2}}{b^{2}} = 1$
$\frac{y^{2}}{a^{2}} - \frac{x^{2}}{b^{2}} = 1$ $\frac{y^{2}}{a^{2}} - \frac{x^{2}}{b^{2}} = 1$
$x y = a (a > 0)$ $x y = a (a > 0)$
$y = a \sqrt{x} (a > 0)$ $y = a \sqrt{x} (a > 0)$
$y = a x^{3} (a > 0)$ $y = a x^{3} (a > 0)$
$y = a x^{4} (a > 0)$ $y = a x^{4} (a > 0)$
$y = b^{x} (b > 1)$ $y = b^{x} (b > 1)$
$y = b^{- x} (b > 1)$ $y = b^{- x} (b > 1)$
$y = \log_{b} x$ $y = \log_{b} x$
$\begin{array}{c} y = a \sin (b x + c) \\ (a > 0, c > 0) \end{array}$ $\begin{array}{c} y = a \sin (b x + c) \\ (a > 0, c > 0) \end{array}$
$\begin{array}{c} y = a \cos (b x + c) \\ (a > 0, c > 0) \end{array}$ $\begin{array}{c} y = a \cos (b x + c) \\ (a > 0, c > 0) \end{array}$
$y = a \tan x (a > 0)$ $y = a \tan x (a > 0)$