When i enter a function into a my TI 83+ in parametric mode to graph how do i then get the inverse of that function by using the Y1 button?
F(x)=5x+8 g(x)=-3x-2
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.
Here is how you draw the inverse of a function Y= e^(-x^2), the bell curve.
Press [2nd][DRAW]
Select 8: DrawInv [ENTER]. command echoes on screen. Press [VARS] ->> Y-VARS [1:Function][1:Y1][ENTER]. The command echoes on screen and you have what the last line in screen capture shows DrawInv Y1
Press [ENTER] and see what you get.
The two curves have been drawn. Try it with the exponential e^x and it inverse the natural log ln(x).
Sorry. In fact you can draw the inverse of a function drawn in parametric form. The inverse is just the reflexion of the curve with respect to the line Yt=Xt.
Say you represent
{X1t=cos(T), Y2t=1-sin(T)}, just a circle with center on Y-axis.
To get the inverse (its reflexion with respect to line Yt=Xt) you define
X2t=Y1t
Y2t=X1T
Here are your curves. The top one is the original circle, the right 1 is its inverse.
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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.
SOURCE: Parametric Graphing of Inverse Functions
if your looking to make a parabola out of it add
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)
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