Question about Texas Instruments TI-84 Plus Silver Edition Graphic Calculator

# Parametric Graphing of Inverse Functions

When I attempt to graph a function and it's inverse in parametric mode

Ex:

X1: Tsquared + T

Y1: T

X2: T

Y2: Tsquared + T

The calc only graphs both equations in Quadrant I.  They both should be parabolas

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Parametric Graphing of Inverse Functions - parametric-graphing-inverse-functions-vmeepxeodbkuphgqq1hkgvwl-1-6.pngg-inverse-functions-vmeepxeodbkuphgqq1hkgvwl-1-6.png" alt="parametric-graphing-inverse-functions-vmeepxeodbkuphgqq1hkgvwl-1-6.png" class="h_mi" />

Posted on Mar 26, 2016

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X3:T²+T
Y3:-T

X4:-T
Y4:T²+T

Those functions are not parabolas. since T² cannot be negative since negative times negative = positive. (unless it's an imaginary number, but thats a different story)

Posted on Feb 08, 2008

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Posted on Jan 02, 2017

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## Related Questions:

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The simplest way is
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Set the Zoom window to SQR (square), otherwise your circle will look like an ellipse.

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I suspect that you are confusing things a bit.
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There are no limitations on the domain of definition of the inverse hyperbolic sine or sinh^-1
If your input value is allowed to be complex, the arcsine function gives a complex value. See the screen capture

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### I can not graph a parametric equation useing radians. I am using a TI-nsipre with out any updates since purchase not a CAS or CX one.

In parametric functions, the variables x and y are both functions of an independent variable, called t, and that usually represents the time. The default variable in parametric functions must be called t. You can enter the limits you want. However if you type in 2 Pi it will be converted on the entry line to 6.28. The default tstep is 0.13 which is about pi/24. I fail to see what the commotion is about.
In this representation of the witch of Agnesi, the variable t is between 0 and 4Pi, and the step tstep is 0.13, a little less that pi/24

Mar 14, 2014 | Texas Instruments TI-Nspire Graphing...

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Jun 13, 2012 | Casio FX-9750GPlus Calculator

### My 'X=" isn't showing up above the "Y="

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For Parametric graphs, you need two functions x as a function of t and y as a function of t. In this case, when you open the function editor, you will see pairs of functions x1(t), y1(t), x2(t), y2(t), etc. Both x and y functions of the pair must be supplied.

So if your x= function is not showing, then you must open the MODE screen, and scroll down to reach the 4th line that says FUNC, PAR, POL, SEQ. Highlight PAR and press ENTER. You do that only if you want to graph parametric functions.

Nov 04, 2011 | Texas Instruments TI-84 Plus Silver...

### When i am graphing and I enter- Y1=Sin(theta) it does not graph it and says syntax error

When drawing function graphs of type Y1=, the name of the independent variable should be X
For polar graphs r=.., the independent variable is theta, while for parametric graphs it is T
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Sep 18, 2011 | Casio FX-9750GPlus Calculator

### I am using a casio graphing calculator and I am trying to graph a parametric function. I put the mode on Param and I inserted xt and yt and i press draw. It draw but then stops and gives me an arugment...

The argument error must have something to do with the parametric functions you are drawing. I do not think anybody would know where to look unless you give us the functions.
As to the range of the T-variable, you can set it by pressing [SHIFT][F3] to open the (V-Window) configuration screen. It starts showing Xmin, Xmax. etc. To get to the T range, use down arrow (about 7 times).

Dec 06, 2010 | Casio FX-9750GPlus Calculator

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At first, you have to use t symbol for parametric functions when you operating with TI 89 Titanium. In your case you must input your relations as x1=3cos(t) and y1=2sin(2t). Then graphing it. See captured image

Sep 21, 2010 | Texas Instruments TI-89 Calculator

### Graphing inverse equations

Hello,
In parametric mode you are not drawing one function, but two functions X1(T) and Y1(T). If you use the DrawInv( command either on X1(T) or Y1(T) you get a syntax error.
However if you are drawing functions in Funct mode you can draw the inverse of the function that has been graphed.
Here is how you do it.

[2nd][Draw][8: DrawInv] [ENTER]
The command appears on the home screen, and you need to tell it the function it will act on. To do so press
[VARS] --> Y-Vars [1:Function]
and select the function you want, say Y1, if Y1 has already been defined.

DrawInv Y1 [ENTER]
Both Y1 and its inverse will be drawn.

Hope it helps.

Sep 02, 2009 | Texas Instruments TI-84 Plus Silver...

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