Education Technology

Solution 11767: Graphing an Ellipse on a Texas Instruments Graphing Calculator.

How do I graph an ellipse on a Texas Instruments graphing calculator?

To input an ellipse into the Y= Editor of a TI graphing calculator, the equation for the ellipse would need to solved in terms of y. The example below will demonstrate how to graph an ellipse.

For Example:
Graph an ellipse where a=1, b=1, and the center of the ellipse is at point (5,6).

1) The equation for an ellipse with its center at point (h,k) is,


2) With substitution,


3) After solving for y, the results are:

y = -(-x2+10x-24)+6


y = (-x2+10x-24)+6

4) The equations can now be entered into the Y= Editor to display the graph of the ellipse.

Please see the TI Graphing family guidebooks for additional information.

TI-83 Plus family and TI-84 Plus family owners can take advantage of the free Conic Graphing App, which provides a simple way to graph the four conic shapes.

TI-Nspire Family Handheld owners can graph an ellipse directly using Equation Template from the Graph page, please see the TI-Nspire CX, TI-Nspire CX CAS, TI-Nspire and TI-Nspire CAS guidebooks for additional information.