Function Transformations

The purpose of this activity is to allow you to investigate the effects of certain transformations on a function. The transformations that we are investigating include:
  • Horizontal Translation (also known as Horizontal Shift)
  • Vertical Translation (also known as Vertical Shift)
  • Vertical Stretch
  • Vertical Shrink
  • Reflection over the x-axis
Use the sliders in the green box to adjust the values of a, w, and k. The gray graph is the graph of the parent function, . The red graph is the graph of the transformed function, . To work with a different function, click the "Change Parent Function" button, and then click on the name of the function that you would like to use.