WOF Portfolio

How is it going? What questions do you have about it? Any thoughts?

Here is a site that explains how to graph piecewise functions on the TI calculator.

Say my equations is
Y1 = -(X-2)^2 + 4

If you graph that equation, then you will see that the function has negative values when x <= 0 and when x>= 4. If you only wanted the positive values, you can enter that into the calculator by typing:
Y2 = (Y1)(X>=0)(X<=4)

NOTE: Type all of the parentheses. Use VARS -> Y_VARS -> Functions -> Y1 to enter Y1 and 2ND -> MATH -> 4 to enter >=.

Some other cool things with the calculator...type:
Y3 = Y2(X-2)
Note the placement of the parentheses. What happens? This is like doing f(x-2) or shifting the function 2 spaces to the right. Look at the table to verify this.

You could also combine functions...type:
Y4 = Y2 + Y3
What happened? Look at the table to verify this.

Almost Done with WOF

Just one more topic to go....
Transformation of graphs...some books like to say translation.

Here is a link that describes shifts, stretches, and shrinks. Here is another link. This is a cool powerpoint presentation. And finally, here is a pdf file.

Here is an interactive site.