----------------------------- FTrans 1.1 by Grahame Bowland - release 08/05/98 ----------------------------- ----------- Description ----------- FTrans is a TI-83 program that calculates the effects of transformations upon functions, and upon points on those functions. ------------- How to use it ------------- _____________ Options 1 & 2 Option 1 calculates the effects of the transformation f(x) -> af(bx + c) + d. Option 1 calculates the effects of the transformation af(bx + c) + d -> f(x). Selecting either of these options displays the transformation you have selected. Enter a, b, c, and d as prompted. For example, to examine the effects of a transformation for y = f(x) to y = 2f(2x) I would enter (after selecting 1 from the main menu): 2 2 0 0 The translations are then displayed one by one, in the order they occur. _____________ Options 3 & 4 Option 3 calculates the x and y co-ordinates of a point on y = f(x) that has undergone a transformation of f(x) -> af(bx + c) + d. Option 4 calculates the x and y co-ordinates of a point on y = af(bx + c) + d that has undergone a tranformation of af(bx + c) + d -> f(x). Selecting either of these options displays the transformation you have selected. Enter a, b, c, and d as prompted (see example above.) Then enter the x and y co-ordinates of the point on the initial function. The corresponding x and y coordinates are displayed. You can then enter another set of co-ordinates without entering the details of the transformation again. To leave this cycle, press the ON button. ------ Author ------ Grahame Bowland Homepage: http://www.wantree.com.au/~bowest/gmb.html ---------------------- Copyright & Disclaimer ---------------------- Copyright 1998 Grahame Bowland This software may be freely distributed as long as the author (Grahame Bowland) is acknowledged. By using this program, you agree to indemnify Grahame Bowland from any liability that may arise from its use.