Detailed method of drawing hyperbola using tabulation point connection method in Geometry Sketchpad

[Data]-[New Parameter] Set parameter x=7.0, [Data]-[Calculation], calculate [8/x=1.14], select x=7 and the calculated value [8/x=1.14] ], [Data] - [Tabulation] to get the table. Select [x=7.0] and the table, use the [-] key on the small keyboard to reduce x to [-7]; click the [ ] key on the small keyboard until x=5.5.

Select the table, right-click the mouse, click [Draw Data in Table], and click the [Draw] button in the pop-up dialog box. The resulting graph is as shown in the figure.

Suppose we demonstrate a hyperbolic image in the [-6, 8] interval. Pick a point F on the curve [-6, 8], [Measure] - [Abscissa], get xF=2.28, [Data] - [Calculate] to calculate 8/xF=3.51, select (2.28, 3.51) Draw point Q.

Select point F and point Q, [Transform] - [Create custom transformation], the name of the custom transformation is [F-Q Transform], click the OK button.

Select point (-6, 0) and point F to construct a line segment, select the line segment just constructed, [Transform] - [F-Q Transform]. Drag point F and point Q will walk along the path and present a trajectory, which is the image of the hyperbolic function, as shown in the figure.

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