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Slider and function plot
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<iframe 
    src="https://www.jsxgraph.uni-bayreuth.de/share/iframe/slider-and-function-plot" 
    style="border: 1px solid black; overflow: hidden; width: 550px; aspect-ratio: 55 / 65;" 
    name="JSXGraph example: Slider and function plot" 
    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 ShareAlike 4.0 International License.
    https://creativecommons.org/licenses/by-sa/4.0/
    
    Please note you have to mention 
    The Center of Mobile Learning with Digital Technology
    in the credits.
    */
    
    const BOARDID = 'board-0';

    var board = JXG.JSXGraph.initBoard(BOARDID, {boundingbox: [-10, 10, 10, -10], axis: true});
    
    var a = board.create('slider', [[2, -5], [7, -5], [-5, 1, 5]], { name: 'a' });
    var b = board.create('slider', [[2, -6], [7, -6], [-5, 0, 5]], { name: 'b' });
    var c = board.create('slider', [[2, -7], [7, -7], [-5, 0, 5]], { name: 'c' });
    
    var f = board.create('functiongraph', [
        function(x) {
            return a.Value() * x * x + b.Value() * x + c.Value();
        }
    ]);
 </script> 
/*
This example is licensed under a 
Creative Commons Attribution ShareAlike 4.0 International License.
https://creativecommons.org/licenses/by-sa/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!

var board = JXG.JSXGraph.initBoard(BOARDID, {boundingbox: [-10, 10, 10, -10], axis: true});

var a = board.create('slider', [[2, -5], [7, -5], [-5, 1, 5]], { name: 'a' });
var b = board.create('slider', [[2, -6], [7, -6], [-5, 0, 5]], { name: 'b' });
var c = board.create('slider', [[2, -7], [7, -7], [-5, 0, 5]], { name: 'c' });

var f = board.create('functiongraph', [
    function(x) {
        return a.Value() * x * x + b.Value() * x + c.Value();
    }
]);
<jsxgraph width="100%" aspect-ratio="1 / 1" title="Slider and function plot" 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 ShareAlike 4.0 International License.
   https://creativecommons.org/licenses/by-sa/4.0/
   
   Please note you have to mention 
   The Center of Mobile Learning with Digital Technology
   in the credits.
   */
   
   var board = JXG.JSXGraph.initBoard(BOARDID, {boundingbox: [-10, 10, 10, -10], axis: true});
   
   var a = board.create('slider', [[2, -5], [7, -5], [-5, 1, 5]], { name: 'a' });
   var b = board.create('slider', [[2, -6], [7, -6], [-5, 0, 5]], { name: 'b' });
   var c = board.create('slider', [[2, -7], [7, -7], [-5, 0, 5]], { name: 'c' });
   
   var f = board.create('functiongraph', [
       function(x) {
           return a.Value() * x * x + b.Value() * x + c.Value();
       }
   ]);
</jsxgraph>

Slider and function plot

Calculus
Function plotting
This is a basic example how to manipulate with three sliders, $a$, $b$, and $c$ a parabola. That is, changing the sliders dynamically changes the coefficients of the quadratic $f(x) = a x^2 + b x + c$. The graph updates in real time as you move the sliders, allowing users to see how each coefficient affects the parabola’s shape, position, and orientation.
// Define the id of your board in BOARDID

var board = JXG.JSXGraph.initBoard(BOARDID, {boundingbox: [-10, 10, 10, -10], axis: true});

var a = board.create('slider', [[2, -5], [7, -5], [-5, 1, 5]], { name: 'a' });
var b = board.create('slider', [[2, -6], [7, -6], [-5, 0, 5]], { name: 'b' });
var c = board.create('slider', [[2, -7], [7, -7], [-5, 0, 5]], { name: 'c' });

var f = board.create('functiongraph', [
    function(x) {
        return a.Value() * x * x + b.Value() * x + c.Value();
    }
]);

license

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