How to use geometry artboard to demonstrate the translation of two-times function image

In the teaching of two functions, using the geometry artboard translation command to create two function images, visually demonstrate the translation of the parabolic line, so that students understand how the parabolic line changes.

　　

　　The specific production ideas and methods are as follows:

The k in the analytic y=ax2+k is used as the parameter, and the change of the parabolic line is realized by the change of the control parameters. Below the parabolic y=x2 upward translation of 1 units to get the parabolic Y=X2+1, translation down 1 units to get the parabolic y=x2-1 for example illustrates.

　　1, production control parameters.

(1), draw a straight line (or segment) perpendicular to the x axis, such as drawing a straight line x=4 (point "chart"-"Draw new function").

(2), Draw point A (4,1), B (4,-1), C (4,0) and Control point K (any point on the line x=4).

(3), calculate the control point K of the Ordinate yk (select the point K, point to "measure"-"ordinate").

　　2. Draw a parabolic line with parameters.

(1), draw parabolic y=x2+yk with parameters.

Click "Chart"-"Draw new function", enter "x", "^", "2", "+", then "yk=4". At this point, you can move the moving point K to make the parabolic top and bottom translation (in order to make it obvious that the image can be shown with a thick red line).

Tip: The method of drawing parabolic y=x2+1 and parabolic y=x2-1 is the same as above.

　　3, Make button control dynamic point K.

(1), select the point k, A, select Edit-Action class button--Move, a button named "Move Point" appears, the name is "moved up", and modify the dialog box "Move Point Properties" in the speed of "slow."

(2), the same as the selected K, C, the production button "restore."

(3), select K, B, make button "Move Down".

　　4. The method of two function translation is realized.

Press the "Restore" button, the red line image is a parabolic Y=X2, press the "Move Up" button, the parabola y=x2 up to the parabolic y=x2+1; Press the "Restore" button, the red thick line image reverts to the parabolic y=x2; press the "Move Down" button, and the parabolic y=x2 pans down until the parabolic y=x2-1.

For parabolic Y=X2 to pan left 1 units to get parabolic y= (X+1) 2, to the right to translate 1 units to get the parabolic y= (X-1) 2, just the corresponding parameters to modify it.

More geometry artboard Templates: http://www.jihehuaban.com.cn/template.html

How to use geometry artboard to demonstrate the translation of two-times function image