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Page 32 © 2012 Texas Instruments Educaon Technology
Transformed graph and equaon
Alternave icons
You saw earlier that, when you change a funcon’s equaon the graph changes. An innovave feature of
TI-Nspire is that you can also do the reverse, i.e. manually manipulate the graph and see the funcon’s
equaon change. As the graph moves, all associated features such as points of intersecon and their
coordinates also update.
First move the straight line graph, as follows.
Check that no icons are sll showing in the top le corner of
the work area (press d if there is anything displayed) and
then move the pointer to the graph of the funcon f2(x)=x+2.
The line should be highlighted and you will see one of the
two icons shown here, depending on where exactly you
are on the screen. Move along the line and you will
discover the other icon.
Near the middle of the graph the icon suggesng translaon
appears, while the one suggesng rotaon appears towards
the ends of the graph. Decide which you would like to use and
grab the line by pressing and holding x.
Use the Touchpad to move the graph around. Noce the way
that the funcon’s equaon updates too.
Press d and try the other transformaon.
Many of the techniques that have been introduced in this tutorial, in parcular xing points, grabbing and
labelling them, will be used again in Tutorial 5. In Tutorials 6 and 7 you will see how the Lists and Spreadsheets
applicaon allows tables of values to be formed from funcons dened in the Graphs applicaon.
Sliders are a powerful way of controlling the value of
constants in a graph or geometric construcon. In this
example we will use a slider to explore the transformaon
of a funcon. To do this, start by creang a new Graphs
page by pressing c then selecng .
First enter the funcon f3(x)=x
2
, then insert a slider by
pressing b1A. v1 will be highlighted. Change it to
by pressing D· ·.
Try manipulang a quadrac graph, and explore the
possible transformaons available