# Math Help - graphs of waves

1. ## graphs of waves

could somebody please show me how to draw graphs or explain in words for:

a). 4 sin (2t + pi/3)
b). 5 sin (2t - pi/5)

2. Originally Posted by hunterage2000
could somebody please show me how to draw graphs or explain in words for:

a). 4 sin (2t + pi/3)
b). 5 sin (2t - pi/5)
for $y=Asin(Bt+C)$

• A is the amplitude of the graph. This will determine the values on the y axis the graph will reach.
• B is the 'compression' of the graph. If $B>1$ the graph will be squashed together on the x-axis by a factor of B. If $B<1$ then it will be spread out by a factor of B
• C is the shift on the x-axis. If $C>0$ the shift will be towards the left (ie more negative) by C units. If $C<0$ the shift will be towards the right by C units

edit:

The first graph shows the effects of various transformations
The second graph shows the graphs you need to draw with sin(x) for comparative purposes