Elliptic curves (with two function graphs)
An elliptic curve can be written as a plane algebraic curve defined by an equation of the form
$$y^2=x^3+ax+b\,.$$
Here, simply the two branches
$$
y = \pm \sqrt{x^3+ax+b}
$$
are plotted with two function graphs.
// Define the id of your board in BOARDID
JXG.Options.axis.strokeColor = '#cccccc';
const board = JXG.JSXGraph.initBoard(BOARDID, {
boundingbox: [-15, 10, 15, -10],
axis: true
});
var b = board.create('slider', [[1, -3], [10, -3], [-10, 2.10, 10]], {name: 'a'});
var a = board.create('slider', [[1, -4], [10, -4], [-10, -9.52, 10]], {name: 'b'});
var c1 = board.create('functiongraph', [function(x) {
return Math.sqrt(x * x * x + a.Value() * x + b.Value());
}], {strokeWidth: 3, strokeColor: 'black'});
var c2 = board.create('functiongraph', [function(x) {
return -Math.sqrt(x * x * x + a.Value() * x + b.Value());
}], {strokeWidth: 3, strokeColor: 'black'});
This example is licensed under a Creative Commons Attribution 4.0 International License.
Please note that you have to mention The Center of Mobile Learning with Digital Technology in the credits.