Here is a Winplot demonstration of transformations relating to the graph of y = C(x - A⁾² + B.  You may need to download the file to your desktop and then use the freeware Winplot to open the file (by opening Winplot, clicking on Window, clicking on 2-dim, clicking on File, clicking on Open, and then opening Shifting from your desktop.  You can use the sliders to vary the values of A, B, and C.  The sliders may at first appear "on top of each other" and you may need to use your cursor to move them.  If the sliders do not appear on your screen then you can bring them up by clicking on Anim, then on Individual, then on A . . .  (repeat for B and C).  You can observe that changing the value of A produces a horizontal shift, changing the value of B produces a vertical shift, and changing the value of C produces a "stretch" and changing the sign of C "flips over" the graph (positive C and the parabola opens up, negative C and the parabola opens down).  The Inventory lists all the equations (functions) in this Winplot demo, just one, y = C*(x - A⁾^2 + B.  If you edit this function and change it to  y = C*(x + A⁾^2 + B then increasing the value of A will cause a horizontal shift in the negative direction.  Take note of this.

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        Lane Vosbury, Math Chair, Seminole Community College   email:  vosburyl@scc-fl.edu

        This page was last updated on 12/17/09          Copyright 2002          webstats