Question

What kind of method do I follow to draw a graph like this?
I know the Amplitude=0.6, period is 90 degrees, phase is pi/12 and the graph translates pi/48

Answer 1

Draw sin (x).
Compress the graph horizontally by a factor of 4.
Shift it left by pi/12 units.
Compress the graph vertically by a factor of 1/0.6, i.e. 1 becomes 0.6, 5 becomes 3, etc.


ALTERNATIVE METHOD:
\[0.6\sin (4(x + \frac{\pi}{48}))\]Draw sin (x).
Shift it left by pi/48 units.
Compress the graph horizontally by a factor of 4.
Compress the graph vertically by a factor of 1/0.6, i.e. 1 becomes 0.6, 5 becomes 3, etc.

Answer 2

Thank you very much!