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Conic section: parabola
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<iframe 
    src="http://jsxgraph.org/share/iframe/conic-section-parabola" 
    style="border: 1px solid black; overflow: hidden; width: 550px; aspect-ratio: 55 / 65;" 
    name="JSXGraph example: Conic section: parabola" 
    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:[-3,3,3,-3], keepaspectratio:true});
    
    var A = board.create('point',[-1,1]);
    var B = board.create('point',[1,1]);
    var line = board.create('line',[A,B]);
    var C = board.create('point',[0,-1]);
    var par = board.create('parabola',[C,line]);
 </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:[-3,3,3,-3], keepaspectratio:true});

var A = board.create('point',[-1,1]);
var B = board.create('point',[1,1]);
var line = board.create('line',[A,B]);
var C = board.create('point',[0,-1]);
var par = board.create('parabola',[C,line]);
<jsxgraph width="100%" aspect-ratio="1 / 1" title="Conic section: parabola" 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:[-3,3,3,-3], keepaspectratio:true});
   
   var A = board.create('point',[-1,1]);
   var B = board.create('point',[1,1]);
   var line = board.create('line',[A,B]);
   var C = board.create('point',[0,-1]);
   var par = board.create('parabola',[C,line]);
</jsxgraph>

Conic section: parabola

Curves
JSXGraph objects
The input elements for a parabola are - a point and a line: focus and the directrix
// Define the id of your board in BOARDID

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

var A = board.create('point',[-1,1]);
var B = board.create('point',[1,1]);
var line = board.create('line',[A,B]);
var C = board.create('point',[0,-1]);
var par = board.create('parabola',[C,line]);

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.