## Family Plotter

Lets you plot a one-parameter family of functions in one coordinate system and zoom in using the mouse.

- Click on
*Options*to bring up a dialog window for options - Modify parameters as you like and click on
*Apply*

The applet helps students to visualize how the shape of a function can depend on a
parameter. Enter, for example, the family *(x-n)^2*, where *n* goes from -3
to -2 and let students describe what they see.

You can also use the applet to draw a sum, or several partial sums. If you
enter, for example, as function *x ^{n}*, check the box
"do summation", and let

*n*go from 8 to 8, say, you get the plot of:

S_{10}= x^{1}+ x^{2}+ x^{3}+ x^{4}+ x^{5}+ x^{6}+ x^{7}+ x^{8}

which will of course look similar to *1/1-x - 1 = x/1-x*. If
*n* goes from, say, 1 to 8 you will get the plot of
*S _{1}*,

*S*, ..., up to

_{2}*S*in one window.

_{8}Every partial sum starts at 1. If you need it to start elsewhere, adjust the parameter accordingly.