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 $\displaystyle y=Asin(Bt+C)$
- 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 $\displaystyle B>1$ the graph will be squashed together on the x-axis by a factor of B. If $\displaystyle B<1$ then it will be spread out by a factor of B
- C is the shift on the x-axis. If $\displaystyle C>0$ the shift will be towards the left (ie more negative) by C units. If $\displaystyle C<0$ 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