Transforming Trigonometric Functions

Author:
dshaft
Enter Values for the different transformations in the input boxes on the left. Use the Button on the right to toggle between the Sine and Cosine functions. Use the Reset to Default button to start your values over. Pay close attention to which transformations affect the Max, Min, amplitude, and period. Note the Key points of the original functions (every 90 degrees the y value is -1,0 or 1) are transformed in the tables on the top right. Hold the shift key and use the scroll wheel on your mouse (or two finger dragging on a mac or chromebook) to zoom in or out.
What is affected by the vertical stretch a? What is affected by the horizontal stretch b? What is affected by the vertical translation h? What is affected by the horizontal translation k?