I 2 know how 2 sketech a hyperbola and an ellipse on the computer program Geometers Sketechpad?

Question

I need to know how to do it in the rectangular grid format grid format useing circiles (not the one where you can animate it)

Answer 1

You probably have to get the equation solved for y to be able to enter it in as a function. When you do that, remember that you will have to type in two equations for each ellipse and two for each hyperbola (one using the positive square root, and one using the negative square root).

Answer 2

Geometer's Sketchpad is limited in what you can graph with an equation. You need to choose a function y = f(x) or x = f(y). Assuming you choose the former, solve for y. But it will only graph one of the hyperbolas (Hyperbolas come in pairs.) Alternatively you could write an equation in polar form that would show both hyperbolas.

If you just want to sketch hyperbolas without an equation you can do that by animation, in any of a number of different ways, but as you noted, you don't want to do that.

Similarly you could sketch half an ellipse in rectangular coordinates or a full ellipse in polar. And you could create an ellipse without an equation using animation.

Those are your options.

Answer 3

yes