Amplitude, Period, Phase Shift and Frequency

Flashcards reviewing amplitude, period, phase shift, and frequency of periodic functions.

Functions that repeat forever are called __.

Periodic Functions

The __ goes from one peak to the next (or from any point to the next matching point).

Period

The __ is the height from the center line to the peak (or to the trough).

Amplitude

The __ is how far the function is shifted horizontally from the usual position.

Phase Shift

The __ is how far the function is shifted vertically from the usual position.

Vertical Shift

In the equation y = A sin(B(x + C)) + D, A represents the __.

amplitude

In the equation y = A sin(B(x + C)) + D, the period is calculated by __.

2π/B

In the equation y = A sin(B(x + C)) + D, C represents the __ (positive is to the left).

phase shift

In the equation y = A sin(B(x + C)) + D, D represents the __.

vertical shift

For the example sin(x), the amplitude is __.

1

For the example sin(x), the period is __.

2π

For the example 2 sin(4(x − 0.5)) + 3, the amplitude is __.

2

For the example 2 sin(4(x − 0.5)) + 3, the period is __.

π/2

For the example 2 sin(4(x − 0.5)) + 3, the phase shift is __.

0.5 (to the right)

For the example 2 sin(4(x − 0.5)) + 3, the vertical shift is __.

3