Determining Rules for Graphs of Circular Functions (VCE SSCE Mathematical Methods): Flashcards

$f(t) = A \sin(nt + \varepsilon) + b$

Amplitude (distance from centreline to peak)

Frequency parameter (related to period)

Phase shift (horizontal translation)

Vertical shift (height of centreline)

$\text{Period} = \frac{2\pi}{n}$

$n = \frac{2\pi}{\text{period}}$

$A = \frac{1}{2}(\text{max} - \text{min})$

$b = \frac{1}{2}(\text{max} + \text{min})$

Always positive