To draw two smoothly joining Quadratic Bezier curves, one needs code example

Example: mathematically create bezier curve javascript

var canvas = document.getElementById('canvas');
var ctx = canvas.getContext('2d');

ctx.beginPath();
ctx.moveTo(50,20);
ctx.bezierCurveTo(230, 30, 150, 60, 50, 100);
ctx.stroke();

ctx.fillStyle = 'blue';
// start point
ctx.fillRect(50, 20, 10, 10);
// end point
ctx.fillRect(50, 100, 10, 10);

ctx.fillStyle = 'red';
// control point one
ctx.fillRect(230, 30, 10, 10);
// control point two
ctx.fillRect(150, 60, 10, 10);