Translations of Graphs
This worksheet will help you understand how translations affect the graph of a function. You will experiment and vertical and horizontal shifts as well as stretching and shrinking. You will work with five different types of functions: quadratic, cubic, radical, inverse, and natural log. Work with one at a time. Move the sliders at the upper left-hand corner to apply the translations.
1. Which variable affected horizontal translations? a. Which values translated the graph left? b. Which values translated the graph right? 2. Which variable caused vertical translations? a. Which values translated the graph up? b. Which values translated the graph down? 3. Which variable cause the graph to shrink or stretch? a. Which values caused the graph to shrink? b. Which values caused the graph to compress?