Any tips or suggestions in sketching these graphs quickly, and in ONE go?
In exams, I don't want to spend ages re-drawing the original sine/cosine graph, one by one, following each new transformation.
Are there any methods that people have found useful when sketching these graphs?
currently what i do (very tedious)
- First determine the period
- Sketch the original shape finishing at the new period
- Determine the amplitude and apply this to the basic shape
- Apply the horizontal translation (add this to the original values on the x-axis)
- Apply the vertical translation (apply this after the amplitude)
Does anyone have shortcut methods, or suggestions to this? I really need to improve my speed and drawing these graphs. Would love to know how others tackle these graphs quickly, or more efficiently.