5.2.2 Transformations of Trigonometric Functions
Transformations of Trigonometric Functions
Transformations of trigonometric functions
- You should already have a good idea about translating, stretching and reflecting basic functions (see Transformations of Functions)
- The basic principles are exactly the same for transforming any trigonometric graph
- y = n cos x gives a vertical stretch or squash
- y = sin nx gives a horizonal stretch or squash
- y = tan (x + c) gives a horizonal translation
Exam Tip
- Always sketch with a pencil and draw a smooth curve.
- When you sketch the transformation of a graph, be sure to indicate the new coordinates of any points that are marked on the original graph.
- Try to indicate the coordinates of points where the new graph intersects the axes.
Worked example
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