Translations of Graphs
The above picture was generated with mathematica using the rules of translations.
Getting to know your graphs.
1. Graph the functions y = x, y = x+2, y = x-2, and y = x+5 on the same plane.
2. Compare the four graphs. Describe the effect of adding or subtracting a constant to the function y = x.
3. Now graph y = x2, y = x2+2, y = x2-2, y = x2+5
4. Compare the four graphs. Describe the effect of adding or subtracting a constant to the function y =x2.
5. Develop general mathematical rules to describe the above noted effects.