TI 89 Titanium Help - Plotting y^2 graphs.

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Discussion Overview

The discussion revolves around the challenges of plotting graphs of the form y² = x + 4 on the TI-89 Titanium calculator. Participants explore various methods to represent such equations, including the limitations of the calculator's functionality and potential workarounds.

Discussion Character

  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant notes that the calculator's + F1 menu only allows plotting of y = functions and questions how to plot y² = x + 4.
  • Another participant suggests plotting both Root(x + 4) and -Root(x + 4) simultaneously using Y1 and Y2 as a solution.
  • A participant expresses concern about the awkwardness of rotating the calculator to plot graphs and proposes a desire for a feature that allows choosing between defining variables (X or Y) for plotting.
  • One participant proposes using parametric mode to plot the equation by defining X1(T) = T² and Y1(T) = T.
  • Another participant reflects on the limitations of the TI-89 for plotting y² equations and suggests that coding a program in ASM might be necessary for more flexibility.
  • A later reply reiterates the parametric mode approach, providing specific equations to use for plotting.

Areas of Agreement / Disagreement

Participants express a range of opinions on the best methods to plot y² graphs, indicating that there is no consensus on a single solution. Some methods are proposed, but participants also highlight limitations and challenges associated with the TI-89 Titanium.

Contextual Notes

Participants mention the cumbersome nature of plotting multiple graphs and the limitations of the calculator's current functionality, indicating a need for additional features or programming solutions.

Who May Find This Useful

This discussion may be useful for users of the TI-89 Titanium calculator, particularly those interested in advanced graphing techniques and workarounds for plotting non-standard 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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