Analysis and
Development of Mathematical Rules

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 = x^{2}, y = x^{2}+2, y = x^{2}-2,
y = x^{2}+5

4. Compare the four graphs. Describe the effect of adding or subtracting a constant to the function y =x^{2}.

5. Develop general mathematical rules to describe the above noted effects.

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 = x

4. Compare the four graphs. Describe the effect of adding or subtracting a constant to the function y =x

5. Develop general mathematical rules to describe the above noted effects.