Manually Moving Graphs | Texas Instruments TINSPIRECX specification

First Steps with TI-Nspire™

Tutorial 4: Graphing

Manually Moving Graphs

You saw earlier that, when you change a function’s equation the graph changes. An innovative feature of TI-Nspire is that you can also do the reverse, i.e. manually manipulate the graph and see the function’s equation change. As the graph moves, all associated features such as points of intersection and their coordinates also update.

First move the straight line graph, as follows.

Check that no icons are still showing in the top left corner of the work area (press d if there is anything displayed) and then move the pointer to the graph of the function 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 suggesting translation appears, while the one suggesting rotation 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. Notice the way that the function’s equation updates too.

Press d and try the other transformation.

Alternative icons

Transformed graph and equation

Try manipulating a quadratic graph, and explore the

possible transformations available

Many of the techniques that have been introduced in this tutorial, in particular fixing 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 application allows tables of values to be formed from functions defined in the Graphs application.

Using Sliders

Sliders are a powerful way of controlling the value of constants in a graph or geometric construction. In this example we will use a slider to explore the transformation of a function. To do this, start by creating a new Graphs page by pressing c then selecting .

First enter the function f3(x)=x2, then insert a slider by pressing b1A. v1 will be highlighted. Change it to d by pressing D··.

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© 2012 Texas Instruments Education Technology

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Texas Instruments TINSPIRECX manual Manually Moving Graphs, Using Sliders, Alternative icons Transformed graph and equation

Contents

First Steps About this document Contents Appendix TI-Nspire CX Keypad Layout Memory TI-Nspire DocumentsNothing on the screen? Battery Life Charging the handheld Home Screen First Steps with TI-Nspire Tutorial 1 TI-Nspire documents Documents, Problems and Pages Scratchpad Navigating Documents First Steps with TI-Nspire Tutorial 1 TI-Nspire documents Contextual Menus Check list of some key points in Tutorial Calculator Application Basic operations History Lesson Approximate Calculations Templates Menu of maths templates Getting Set Document settings dialog boxEffect of changed settings Use of function notation Some AlgebraWays to define variables Lists of random integers Calculator MenuStatistical Distribution Tables Variables Linked to Documents List of defined variables Various text formatting Instructions Recording results Why use Notes?Making Notes Ways to split the screen You must press /e and then b Splitting the ScreenFormat sub-menu An inserted comment Use of proof template and symbols More Options from the Notes MenuInteractive Notes Use of Q+A template Asking Questions Check list of some key points in Tutorial Graphing Graphs & Geometry Two ViewsGraphing Functions Graphing View Grab and Drag Practice Changing the AxesOpen-hand cursor Grabbed tick mark on the axes Changing f2 in the function history Zoom settings Grabbed-sheet iconEditing, Deleting or Hiding a Function Tracing Graphs Points and coordinatesTrace picks out significant points Points of intersection Analyse Graph Menu Coordinates and labelled points Alternative icons Transformed graph and equation Using SlidersManually Moving Graphs Sequence Plotting Check list of some key points in Tutorial Geometry View for Plane GeometryTwo Parallel Lines Drawing the base of the triangle Many options in the Construction menu What’s grabbable?Construct the Triangle Making Measurements Variables and TextMeasurement menu Storing the measurement as a variable Tidying Up and Using Attributes Dynamic ChangesReady to grab a and slide it Changing the attributes of the triangle Area is now locked Unlocked/Unpinned Points B and C. Try Moving point B Check list of some key points in Tutorial Lists & Spreadsheet Entering Data as Lists One way to enter a formula Typical Spreadsheet Actions Using FormulaeConflict resolution Hand-made function table Capturing DataFunction Tables Simple function table Options for function tables Graph and table side by side Frequency Charts Shoe Sizes and Hand Spans Charts with One VariableOne and Two Variable Statistics Charts for Categorical Data Pie Chart displaying categorical dataComparing Boxplots Upper quartile displayed Ready to add a 2nd variable Charts with Two VariablesFitting a Line by Hand and Eye Calculated regression line Statistics Calculations menu Drawing the Regression LineGetting the Stats Dragging on the Charts Working with Frequency DataSets of statistics Effect of moving a point from here … … to here Texas Instruments Education Technology Check list of some key points in Tutorial Measured circle Multiple RepresentationsDraw and Measure a Circle Setting up a scatter plot Data capture is under way Spreadsheet for Data CaptureTwo Scatterplots Collecting Just a Little Data Go to Town with Data Collection Fit a Straight LineLinear relationship Moving a straight line by hand Not a linear relationship Basic quadratic ready for fitting… … and dragged into place Different Approach to ScatterplotsRegression