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Conic section: generic through 5 points
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<iframe 
    src="http://jsxgraph.org/share/iframe/conic-section-generic-through-5-points" 
    style="border: 1px solid black; overflow: hidden; width: 550px; aspect-ratio: 55 / 65;" 
    name="JSXGraph example: Conic section: generic through 5 points" 
    allowfullscreen
></iframe>
This code has to 
<div id="board-0-wrapper" class="jxgbox-wrapper " style="width: 100%; ">
   <div id="board-0" class="jxgbox" style="aspect-ratio: 1 / 1; width: 100%;" data-ar="1 / 1"></div>
</div>

<script type = "text/javascript"> 
    /*
    This example is licensed under a 
    Creative Commons Attribution 4.0 International License.
    https://creativecommons.org/licenses/by/4.0/
    
    Please note you have to mention 
    The Center of Mobile Learning with Digital Technology
    in the credits.
    */
    
    const BOARDID = 'board-0';

    const board = JXG.JSXGraph.initBoard(BOARDID, {
        boundingbox: [-2, 3, 4, -3],
        keepaspectratio: true
    });
    
    var A = board.create('point', [0.55, 0]);
    var B = board.create('point', [1, 1]);
    var C = board.create('point', [2, -1]);
    var D = board.create('point', [2, 2]);
    var E = board.create('point', [0.3, -2]);
    var con = board.create('conic', [A, B, C, D, E]);
 </script> 
/*
This example is licensed under a 
Creative Commons Attribution 4.0 International License.
https://creativecommons.org/licenses/by/4.0/

Please note you have to mention 
The Center of Mobile Learning with Digital Technology
in the credits.
*/

const BOARDID = 'your_div_id'; // Insert your id here!

const board = JXG.JSXGraph.initBoard(BOARDID, {
    boundingbox: [-2, 3, 4, -3],
    keepaspectratio: true
});

var A = board.create('point', [0.55, 0]);
var B = board.create('point', [1, 1]);
var C = board.create('point', [2, -1]);
var D = board.create('point', [2, 2]);
var E = board.create('point', [0.3, -2]);
var con = board.create('conic', [A, B, C, D, E]);
<jsxgraph width="100%" aspect-ratio="1 / 1" title="Conic section: generic through 5 points" description="This construction was copied from JSXGraph examples database: BTW HERE SHOULD BE A GENERATED LINKuseGlobalJS="false">
   /*
   This example is licensed under a 
   Creative Commons Attribution 4.0 International License.
   https://creativecommons.org/licenses/by/4.0/
   
   Please note you have to mention 
   The Center of Mobile Learning with Digital Technology
   in the credits.
   */
   
   const board = JXG.JSXGraph.initBoard(BOARDID, {
       boundingbox: [-2, 3, 4, -3],
       keepaspectratio: true
   });
   
   var A = board.create('point', [0.55, 0]);
   var B = board.create('point', [1, 1]);
   var C = board.create('point', [2, -1]);
   var D = board.create('point', [2, 2]);
   var E = board.create('point', [0.3, -2]);
   var con = board.create('conic', [A, B, C, D, E]);
</jsxgraph>

Conic section: generic through 5 points

Curves
JSXGraph objects 
// Define the id of your board in BOARDID

const board = JXG.JSXGraph.initBoard(BOARDID, {
    boundingbox: [-2, 3, 4, -3],
    keepaspectratio: true
});

var A = board.create('point', [0.55, 0]);
var B = board.create('point', [1, 1]);
var C = board.create('point', [2, -1]);
var D = board.create('point', [2, 2]);
var E = board.create('point', [0.3, -2]);
var con = board.create('conic', [A, B, C, D, E]);

license

This example is licensed under a Creative Commons Attribution 4.0 International License.
Please note you have to mention The Center of Mobile Learning with Digital Technology in the credits.