IB Maths AA 3.7 Definitions

The distance from the principal axis to a maximum or minimum of a sinusoidal graph, given by '$\left|a\right|$'.

Lines that a rational function’s graph approaches; can be vertical where the denominator is $0$ (and the numerator is not $0$ there), horizontal depending on degrees, or oblique when the numerator’s degree is one more than the denominator’s.

Describes a function formed by putting one function inside another, for example '$f\left(g\left(x\right)\right)$', which typically requires the chain rule to differentiate.

The horizontal line halfway between the maximum and minimum values of a sine or cosine graph, with equation $y=\frac{\text{max}+\text{min}}{2}$; for $y=a\sin\left(b\left(x+c\right)\right)+d$ it is $y=d$.

The horizontal length of one complete cycle of a trigonometric graph; for '$y=\sin x$' and '$y=\cos x$' it is '$2\pi$', and for '$y=\tan x$' it is '$\pi$'.

Repeating in a regular pattern, so the graph looks the same after a fixed horizontal distance called the period.

Describing changes parallel to the $y$-axis, such as a stretch by factor $|a|$ or a shift up or down by $d$.