Given the family of functions

with parameters **a** and **b**, determine what is the effect on the
graph when you change the values of **a** and **b**.

Using the TI-86 graphing calculator:

- Type in
**{1,2,3}**STO**A**. - Press ENTER.
- Type in
**{-1,0,1}**STO**B**. - Press ENTER.
- You can find the symbol "
**{**" by pressing 2^{nd}LIST and F1; the symbol "**}**" is then obtained by pressing F2. - Press the GRAPH key and then pick
**y(x)=**by pressing the F1 key. - If necessary, keep pressing the F4 key until all preexisting graphs have been deleted.
- Be sure that
**PLOTS 1, 2,**and**3**are turned off. - At the prompt,
**\y1= ,**type in**A*(x-B)^3** - IMPORTANT: "
**A**" and "**B**" must be upper case, and, in order to avoid**ERROR 13 DIMENSION**, include the "*****" sign. - The
**WINDOW**settings for the graph above are**[-3, 3] × [-10, 10]**: - Select
**GRAPH**by pressing F5. - Note that the graphs of the functions are plotted in the order in which the values are stored in "
**A**and**B**". - Also note that only 3 lines were graphed although there are 9 combinations involving
**A**and**B**. In order to make the TI-86 graph all 9 lines in the family, enter the parameters as follows:

**
{-1,0,1,-1,0,1,-1,0,1}STO B**

Constructed with the help of Chris O'Brien.