Sine Wave Formula

Front

Sine Wave Formula

Back

y = a sin(bx + c) + d, where: * a = Amplitude * b = Affects period * c = Phase shift * d = Vertical shift

Front

Amplitude

Back

The maximum distance from the midline to the peak or trough, given by the absolute value of a.

Front

Period

Back

The distance for one full cycle, calculated as 2pi divided by the absolute value of b.

Front

Phase Shift

Back

Horizontal movement, calculated as negative c divided by b.

Front

Vertical Shift

Back

Moves the graph up or down, represented by d.

Front

Maximum and Minimum Values

Back

Max = d + absolute value of a, Min = d - absolute value of a.

Front

Sine Wave Graph

Back

A smooth, continuous curve that repeats every period.