Calculators TI 89 Titanium Help - Plotting y^2 graphs.

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SUMMARY

The TI-89 Titanium calculator allows users to plot graphs of the form y^2 = x + 4 by utilizing the parametric mode. Users can define Y1 as the positive root and Y2 as the negative root to visualize both parts of the graph simultaneously. Alternatively, the equation can be rearranged to y = x^2 - 4 for plotting. The discussion highlights the limitations of the TI-89 in directly plotting y^2 equations and suggests using parametric equations as a workaround.

PREREQUISITES
  • Understanding of parametric equations in graphing
  • Familiarity with the TI-89 Titanium calculator interface
  • Basic knowledge of quadratic functions and transformations
  • Experience with graphing calculators and their modes
NEXT STEPS
  • Learn how to set up parametric equations on the TI-89 Titanium
  • Explore graph transformations for quadratic functions
  • Research programming in ASM for the TI-89 Titanium to enhance functionality
  • Investigate alternative graphing software like Microsoft Math 3.0 for comparison
USEFUL FOR

Mathematics students, educators, and anyone using the TI-89 Titanium for advanced graphing of quadratic equations.

Shailen Sobhe
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The <Diamond> + F1 menu allows me to plot only Y= graphs.

How do I plot a graph of say, y^2=x+4 ?

You cannot plot y=Root(x+4) because you would miss the negative part of y.

If this is the only way to plot such graphs, how to you tell TI to plot a y= +/- Root(x+4) ?

Thanks.
 
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You can plot Root(x + 4) and -Root(x + 4) simultaneously (e.g. using Y1 and Y2).
Or you can plot x^2 = y + 4 <=> y = x^2 - 4 and rotate your calculator :smile:
 
CompuChip, Thank you very much for this reply, but is it the only way I can plot graphs of y^2?

I surmise, like many would do as well, that rotating your calculator is awkward. Besides, though you could type the positive part for Y1, and then plot Y2=-Y1 as a shortcut, it is still cumbersome.

I am convinced that there should be a little TI 89 hack, or addon that would allow me to choose what left hand defining part of the equation that I wish to plot. For instance, rather than having only Ys in the <Diamond>F1 menu, I can choose between X and Y ( or Z for 3D).

In Microsoft Math 3.0, I am allowed to choose. So I just select X from the dropdown menu, and define X in terms of y^+4 and I get my graph.

Any ideas how this can be done in TI89 Titanium?
 
Hmm if typing -Y2 or rotating the screen or doing a sketch yourself on a piece of paper is too much work, maybe you can put your calculator in parametric mode and plot
X1(T) = T^2
Y1(T) = T
?
 
I guess plotting y-squareds in terms of x is a Texas Instruments limitation. Substituting for variables can be done, but then, imagine one has 5 or 6 graphs to plot and wishes to see where they intersect. Cumbersome.

Basically, I shall learn all the quadratic rules, graph transformations, and the graphs' general shapes.

Having such a graphical calculator is pointless, unless I code the little program in ASM that will allow me to choose my defining parameter (x or y ).
 
Do what CompuChip says: using MODE set the Graph mode to PARAMETRIC. Then, press the green y=, and set yt1 = t and, since x = y^2 - 1, xt1 = t^2 - 1.
 
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