Problem:
Given the family of functions
f(x) = |2a - x|
with parameter a, draw the graphs for the parameters a = 0, 1, ..., 4.
Visualization:
Using TI-85 graphing calculator:

[Press here to see animation again!]
- If you are not familiar with the graphing of functions on the TI-85,
then first read the
Initial Setup
page from
Little's Basic Guide to the TI-85.
- Type in {0,1,2,3,4} STO A
- Press ENTER key.
- You can find the symbol "{" by pressing 2nd 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.
- At the prompt, y1= , type in
abs(2 A - x)
- There are three ways to enter "abs" :
- Press 2nd CATALOG followed by the ENTER key.
- Press 2nd MATH, then F1, and then F5
- Or, you can simply type in "a" "b" "s", but be sure
you use lower case lettering.
- IMPORTANT: "A" in step 7 must be upper case.
- The RANGE settings for the graph above are [-10, 10] × [0, 18]:

- 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".
Constructed with the help of Chris O'Brien.