Using the graph of waves

Function equation

f(x)= Asin/cos(Bx+C)+D

What symbol is amplitude represented by?

A

How do you find amplitude on a graph?

By measuring the vertical distance from the midline of the wave to its peak or trough.

What symbol is the period (T) represented by?

B=w, T=2pi/w

How do you find the period on a graph?

By measuring the horizontal length of one complete cycle of the wave.

How do you find B from the period?

B(w)=2 \pi / T

How do you find if it’s sin or cos?

sin= graph passes through 0

cos= graph doesn’t pass through 0

What symbol is phase shift represented by?

C

How do you find phase shift from a graph?

By measuring the horizontal distance from the y-axis to the shifted start of a cycle.

What symbol is vertical shift represented by?

D

How do you find vertical shift on a graph?

Distance from 0 on the y-axis

How do you find frequency from the equation?

f=1/T (reciprocal of T)